Question 1

The degrees of freedom for a $7 \times 5$ contingency table would be 24.

Accepted Answer

A) True 
 B)False

Question 2

In a goodness-of-fit test, the degrees of freedom are equal to the number of categories minus two.

Accepted Answer

A) True 
 B)False

Question 3

Monica, a chef at a 5 -star restaurant, makes eight different desserts. She wants to see if the customers prefer any specific dessert over another. She keeps a record of desserts ordered over the course of several weeks. At $a = 0.05$, check to see if the desserts being ordered are equally distributed.
$\begin{array} { l l c } & \text { Dessert } & \text { Frequenc } \ & \text { Chocolate Mousse } & 25 \ & \text { Baked Alaska } & 12 \ & \text { Orange Cheesecake } & 23 \ & \text { Caramel Flan } & 32 \ & \text { Banana Brûlée } & 40 \ & \text { Mississippi Mud Pie } & 20 \ & \text { Ricotta Cannoli } & 38 \ \text { Table 11-2 } & \text { French Walnut Torte } & 34 \end{array}$
-State what the alternative hypothesis would be.

Accepted Answer

A)  $\mathrm { H } _ { 1 }$ : Customers show a preference for a specific dessert. 
B)  $\mathrm { H } _ { 1 }$ : Customers show no preference for a specific dessert. 
C)  $\mathrm { H } _ { 1 }$ : Customers show a preference for four desserts. 
D)  $\mathrm { H } _ { 1 }$ : Customers do not order dessert. 
A)  $\mathrm { H } _ { 1 }$ : Customers show a preference for a specific dessert. 
B)  $\mathrm { H } _ { 1 }$ : Customers show no preference for a specific dessert. 
C)  $\mathrm { H } _ { 1 }$ : Customers show a preference for four desserts. 
D)  $\mathrm { H } _ { 1 }$ : Customers do not order dessert.

Question 4

An assumption for the goodness-of-fit test is that the __________ frequency for each category must be
five or more. 
________________________________________

Accepted Answer

The answer of An assumption for the goodness-of-fit test is...

Question 5

A random group of apartments was selected from a city to analyze the number of bedrooms they have. Is there evidence to reject the hypothesis that the apartments are equally distributed between 1-bedroom, 2-bedroom, and 3-bedroom apartments, at   ? 
$\begin{array}{cccc} 
& 1 \text { bedroom } & 2 \text { bedrooms } & 3 \text { bedrooms } \
\text { Number of apartments } & 9 & 12 & 13
\end{array}$

Accepted Answer

A) There is evidence to reject the claim that the apartments are equally distributed between the three sizes . because the test value $0.7647  7.815$ 
D) There is not evidence to reject the claim that the apartments are equally distributed between the three . sizes because the test value $7.815 < 11.506$ 
A) There is evidence to reject the claim that the apartments are equally distributed between the three sizes . because the test value $0.7647  7.815$ 
D) There is not evidence to reject the claim that the apartments are equally distributed between the three . sizes because the test value $7.815 < 11.506$

Question 6

Before computing the test value, one must state the hypothesis.

Accepted Answer

A) True 
 B)False

Question 7

Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. $A t = .05$, test the claim that the distribution of hard drives and the store where the computers were bought are not related. 
$\begin{array}{lcccc}
\text { Number of computers } & 20 \text { GB drive } & 40 \text { GB drive } & 80 \text { GB drive } & 160 \text { GB drive } \
\text { Store 1 } & 13 & 12 & 20 & 12 \
\text { Store } 2 & 98 & 48 & 56 & 8
\end{array}$

Accepted Answer

A) There is evidence to reject the claim that the size of hard drive sold and the store number are not related . because the test value $25.116 > 7.815$ B) There is evidence to reject the claim that the size of hard drive sold and the store number are not related . because the test value $0.950 > 7.815$ C) There is not evidence to reject the claim that the size of hard drive sold and the store number are not . related because the test value $7.815 < 0.950$ D) There is not evidence to reject the claim that the size of hard drive sold and the store number are not . related because the test value $15.507 < 0.950$ A) There is evidence to reject the claim that the size of hard drive sold and the store number are not related . because the test value $25.116 > 7.815$ B) There is evidence to reject the claim that the size of hard drive sold and the store number are not related . because the test value $0.950 > 7.815$ C) There is not evidence to reject the claim that the size of hard drive sold and the store number are not . related because the test value $7.815 < 0.950$ D) There is not evidence to reject the claim that the size of hard drive sold and the store number are not . related because the test value $15.507 < 0.950$

Question 8

A random group of students was asked to name their favourite type of music. The campus radio station believes that $20 \%$ of the students prefer rap, $22 \%$ prefer rock, $21 \%$ prefer country, $11 \%$ prefer new age, and $26 \%$ prefer oldies. Is there evidence to reject this hypothesis at $= .05$ ?
$\begin{array} { c c c c c c } \begin{array} { c } \text { Type of } \ \text { music } \end{array} & \text { Rap } & \text { Rock } & \text { Country } & \text { New Age } & \text { Oldies } \ \begin{array} { c } \text { Number of } \ \text { Students } \end{array} & 19 & 32 & 16 & 18 & 18 \end{array}$

Accepted Answer

A) There is not evidence to reject the claim that the favourite music types are distributed as claimed . because the test value $9.488  7.815$ 
C) There is not evidence to reject the claim that the favourite music types are distributed as claimed because the test value $11.07  9.488$ 
A) There is not evidence to reject the claim that the favourite music types are distributed as claimed . because the test value $9.488  7.815$ 
C) There is not evidence to reject the claim that the favourite music types are distributed as claimed because the test value $11.07  9.488$

Question 9

$$\text { The null hypothesis should not be rejected for the data given in the figure below  }$$

Accepted Answer

A) True 
 B)False

Question 10

A random group of desktop computer sales was selected from an electronic discount chain to analyze the size of monitor purchased with the computer. Is there evidence to reject the hypothesis that the number of monitors is equally distributed between the five types, at $= .05$ ?
$\begin{array} { c c c c c c } \text { Monitor type } & 15 " \text { CRT } & 15 " \text { flat panel } & 17 \text { " CRT } & 17 ^ { \prime \prime } \text { flat panel } & 19 " \text { CRT } \ \text { Number of sales } & 16 & 24 & 14 & 9 & 4 \end{array}$

Accepted Answer

A) There is evidence to reject the claim that the monitors are equally distributed between the five classes because the test value $16.955 > 11.070$ B) There is not evidence to reject the claim that the monitors are equally distributed between the five - classes because the test value $9.488 9.488$ D) There is not evidence to reject the claim that the monitors are equally distributed between the five . classes because the test value $11.070 < 10.361$ A) There is evidence to reject the claim that the monitors are equally distributed between the five classes because the test value $16.955 > 11.070$ B) There is not evidence to reject the claim that the monitors are equally distributed between the five - classes because the test value $9.488 9.488$ D) There is not evidence to reject the claim that the monitors are equally distributed between the five . classes because the test value $11.070 < 10.361$

Question 11

A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At $= .05$, test the claim that the meal preference and the gender of the student are not related .
$\begin{array}{lcc} 
& \text { Hamburgers } & \text { Fried Chicken } \
\text { Female } & 11 & 23 \
\text { Male } & 15 & 20
\end{array}$

Accepted Answer

A) There is evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $3.841 > 0.810$ B) There is evidence to reject the claim that the meal preference and the gender of the student are not related because the test value $9.488 > 0.895$ C) There is not evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $0.810 < 3.841$ D) There is not evidence to reject the claim that the meal preference and the gender of the student are not related because the test value $0.895 < 9.488$ A) There is evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $3.841 > 0.810$ B) There is evidence to reject the claim that the meal preference and the gender of the student are not related because the test value $9.488 > 0.895$ C) There is not evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $0.810 < 3.841$ D) There is not evidence to reject the claim that the meal preference and the gender of the student are not related because the test value $0.895 < 9.488$

Question 12

A marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At $= .05$, test the claim that the proportions of lawyers and doctors who voted are equal . 
$\begin{array}{lcc} 
& \text { Lawyers } & \text { Doctors } \
\text { Voted } & 17 & 8 \
\text { Did not vote } & 8 & 17 \
\text { Total } & 25 & 25
\end{array}$

Accepted Answer

A) There is not evidence to reject the claim that the proportions are equal because the test value $3.841 3.841$ C) There is evidence to reject the claim that the proportions are equal because the test value $6.480 > 9.488$ D) There is not evidence to reject the claim that the proportions are equal because the test value $9.488 <$ $1.440$ A) There is not evidence to reject the claim that the proportions are equal because the test value $3.841 3.841$ C) There is evidence to reject the claim that the proportions are equal because the test value $6.480 > 9.488$ D) There is not evidence to reject the claim that the proportions are equal because the test value $9.488 <$ $1.440$

Question 13

What is the null hypothesis?

Accepted Answer

A)  Children spend the same amount of time watching TV each day. 
B)  Children spend different amounts of time watching TV each day. 
C)  Children spend more time watching TV on weekends. 
D)  Children spend less than 2.6 hours a day watching TV. 
A)  Children spend the same amount of time watching TV each day. 
B)  Children spend different amounts of time watching TV each day. 
C)  Children spend more time watching TV on weekends. 
D)  Children spend less than 2.6 hours a day watching TV.

Question 14

An anatomy teacher hypothesizes that the final grades in her class are distributed as $10 \% \mathrm {~A}$ 's, $23 \%$ $B ^ { \prime } s , 45 \% { } ^ { \prime \prime }$ s, $14 \%$ D's, and $8 \% F ^ { \prime } s$. What is the critical value if at the end of the semester she has the $\begin{array} { l l l l l l } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \ \text { following grades? Use } \alpha = 0.05 . & 6 & 14 & 22 & 8 & 4 \end{array}$

Accepted Answer

A)  9.236 
B)  7.779 
C)  11.070 
D)  9.488 
A)  9.236 
B)  7.779 
C)  11.070 
D)  9.488

Question 15

A researcher wishes to determine if there is a relationship between the sex of an individual and the amount of coffee consumed. The following data was obtained for the number of cups of coffee consumed. What is the expected value of $C_{2,3}$  ?

$\begin{array}{llll} 
& {\text { Mean number of cups consumed per day }} \
\text { Males } & \mathbf{0}-\mathbf{1} & \mathbf{2 - 4} & \mathbf{5} \text { or } \text { more } \
\text { Females } & 12 & 13 & 25 \
11 & 22
\end{array}$

Accepted Answer

The answer of A researcher wishes to determine if there...

Question 16

The dean of a local school wants to determine if the grade distribution is independent of
the subject matter taught. How many degrees of freedom does this contingency table have?
 $$\begin{array} { l l l l l l } 
\text { Subject } & \mathbf { A } & \mathbf { B } & \mathbf { C } & \mathbf { D } & \mathbf { E } \
\text { Science } & 5 & 11 & 27 & 7 & 11 \
\text { History } & 14 & 18 & 32 & 5 & 7 \
\text { English } & 18 & 35 & 68 & 18 & 23
\end{array}$$

Accepted Answer

The answer of The dean of a local school wants...

Question 17

A contingency table has 5 rows and 4 columns. What are the degrees of freedom?

Accepted Answer

A)  20 
B)  12 
C)  16 
D)  15 
A)  20 
B)  12 
C)  16 
D)  15

Question 18

The chi-square distribution is continuous, whereas the goodness-of-fit test is __________. 
________________________________________

Accepted Answer

The answer of The chi-square distribution is continuous, whereas the...

Question 19

If the null hypothesis is not rejected, it can be assumed the proportions are __________ and the
differences in them are due to chance. 
________________________________________

Accepted Answer

The answer of If the null hypothesis is not rejected,...

Question 20

A software company wants to determine whether there is a relationship between their three sales offices and the sales of their software products. The actual sales results are : 
$\begin{array}{lccc} 
& \text { Product A } & \text { Product B } & \text { Product C } \
\text { Office 1 } & 17 & 10 & 23 \
\text { Office 2 } & 18 & 23 & 9 \
\text { Office } 3 & 26 & 10 & 64
\end{array}$
Under the null hypothesis, what is the expected amount of Product A that would be sold by Office 2 ?

Accepted Answer

A)  12.20 
B)  15.25 
C)  20.33 
D)  30.50 
A)  12.20 
B)  15.25 
C)  20.33 
D)  30.50

The degrees of freedom for a $7 \times 5$ contingency table would be 24.

In a goodness-of-fit test, the degrees of freedom are equal to the number of categories minus two.

An assumption for the goodness-of-fit test is that the frequency for each category must be five or more. ______________________________

Before computing the test value, one must state the hypothesis.

$\text { The null hypothesis should not be rejected for the data given in the figure below }$ $\text { The null hypothesis should not be rejected for the data given in the figure below }$

A marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At $= .05$ , test the claim that the proportions of lawyers and doctors who voted are equal . Lawyers Doctors Voted 17 8 Did not vote 8 17 Total 25 25

What is the null hypothesis?

The dean of a local school wants to determine if the grade distribution is independent of the subject matter taught. How many degrees of freedom does this contingency table have? Subject Science 5 11 27 7 11 History 14 18 32 5 7 English 18 35 68 18 23

A contingency table has 5 rows and 4 columns. What are the degrees of freedom?

The chi-square distribution is continuous, whereas the goodness-of-fit test is . ______________________________

If the null hypothesis is not rejected, it can be assumed the proportions are and the differences in them are due to chance. ______________________________

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Tables

Data Bank

Glossary

Filters

Exam 10: Chi-Square and Analysis of Variance Anova

The degrees of freedom for a 7×57 \times 57×5 contingency table would be 24.

In a goodness-of-fit test, the degrees of freedom are equal to the number of categories minus two.

An assumption for the goodness-of-fit test is that the __________ frequency for each category must be five or more. ________________________________________

Before computing the test value, one must state the hypothesis.

The null hypothesis should not be rejected for the data given in the figure below \text { The null hypothesis should not be rejected for the data given in the figure below } The null hypothesis should not be rejected for the data given in the figure below

A marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At =.05= .05=.05 , test the claim that the proportions of lawyers and doctors who voted are equal . Lawyers Doctors Voted 17 8 Did not vote 8 17 Total 25 25

What is the null hypothesis?

The dean of a local school wants to determine if the grade distribution is independent of the subject matter taught. How many degrees of freedom does this contingency table have? Subject Science 5 11 27 7 11 History 14 18 32 5 7 English 18 35 68 18 23

A contingency table has 5 rows and 4 columns. What are the degrees of freedom?

The chi-square distribution is continuous, whereas the goodness-of-fit test is __________. ________________________________________

If the null hypothesis is not rejected, it can be assumed the proportions are __________ and the differences in them are due to chance. ________________________________________

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Tables

Data Bank

Glossary

Filters

The degrees of freedom for a $7 \times 5$ contingency table would be 24.

An assumption for the goodness-of-fit test is that the frequency for each category must be five or more. ______________________________

$\text { The null hypothesis should not be rejected for the data given in the figure below }$ $\text { The null hypothesis should not be rejected for the data given in the figure below }$

A marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At $= .05$ , test the claim that the proportions of lawyers and doctors who voted are equal . Lawyers Doctors Voted 17 8 Did not vote 8 17 Total 25 25

The chi-square distribution is continuous, whereas the goodness-of-fit test is . ______________________________

If the null hypothesis is not rejected, it can be assumed the proportions are and the differences in them are due to chance. ______________________________