Question 1

The degrees of freedom for a $3 \times 5$ contingency table are __________. 
________________________________________

Accepted Answer

8

Question 2

Two allergists recorded the main area of allergy for new patients during one month. At $= .05$, test the claim that the allergy diagnosis and the doctor that treated the patients are independent
$\begin{array}{lcccc}
\text { Allergies } & \text { Pollen } & \text { Food } & \text { Mould } & \text { Pets } \
\text { Doctor } 1 & 8 & 5 & 8 & 6 \
\text { Doctor } 2 & 32 & 5 & 11 & 22
\end{array}$

Accepted Answer

A) There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related . because the test value $2.204 > 15.507$ 
B) There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related . because the test value $6.166  6.166$ 
D)  There is evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value $15.507 > 2.204$ 
A) There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related . because the test value $2.204 > 15.507$ 
B) There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related . because the test value $6.166  6.166$ 
D)  There is evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value $15.507 > 2.204$ B

Question 3

A store manager wants to determine if there is a relationship between the day of sale and the price of the item for the number of items sold. The following data was obtained. What is the expected value for $C _ { 4,1 }$ ?
$\begin{array}{llll} 
&{\text { Number of Items Sold }} \
& \text { Low } & \text { Medium } & \text { Hight } \
\text { Mon } & 18 & 14 & 3 \
\text { Tues } & 14 & 13 & 6 \
\text { Wed } & 18 & 19 & 5 \
\text { Thurs } & 27 & 23 & 11 \
\text { Fri } & 34 & 27 & 12
\end{array}$

Accepted Answer

27.75
The test value is 15.31.

Question 4

The test of homogeneity of proportions is used to determine whether the proportions for a variable are
unequal when several samples are selected from different populations.

Accepted Answer

A) True 
 B)False

Question 5

A quality control supervisor selected a sample of 100 electronic components from each of three different production chains to determine if the production chains had the same rates of meeting their quality standards. At $= .05$, test the claim that the proportions are equal 
$\begin{array}{lccc}
\text { Components } & \text { Chain 1 } & \text { Chain 2 } & \text { Chain ? } \
\text { Meets the standard } & 77 & 85 & 73 \
\text { Does not meet the standard } & 23 & 15 & 27 \
\text { Total } & 100 & 100 & 100
\end{array}$

Accepted Answer

A) There is evidence to reject the claim that the proportions are equal because the test value $12.592 >$ $0.786$ B) There is not evidence to reject the claim that the proportions are equal because the test value $4.399 0.786$ D) There is evidence to reject the claim that the proportions are equal because the test value $4.399 < 5.991$ A) There is evidence to reject the claim that the proportions are equal because the test value $12.592 >$ $0.786$ B) There is not evidence to reject the claim that the proportions are equal because the test value $4.399 0.786$ D) There is evidence to reject the claim that the proportions are equal because the test value $4.399 < 5.991$

Question 6

The critical chi-square value for 15 degrees of freedom when $a = 0.05$ and the test is right-tailed is 19.675.

Accepted Answer

A) True 
 B)False

Question 7

The computational procedure for homogeneity of proportions differs from that of the test of independence
in that it takes into account the standard deviation.

Accepted Answer

A) True 
 B)False

Question 8

$$\chi ^ { 2 } = \sum \frac { | O - E | - 0.5 ^ { 2 } } { E }$$ The method that uses the formula is called the __________ correction for
continuity.

Accepted Answer

The answer of \[\chi ^ { 2 } = \sum...

Question 9

When data are arranged in table form for the chi-square independence test, it is called a __________
table. 
________________________________________

Accepted Answer

The answer of When data are arranged in table form...

Question 10

Chicken, hot dogs, and hamburgers were served during a recent barbecue. The host assumed that there would be no difference between what the women chose to eat and what the men chose to eat. What is the
$\begin{array} { l l l l l } & & \text { Chicken } & \text { Hot Dogs } & \text { Hamburgers } \ & \text { Women } & 7 & 3 & 4 \ \text { test value for the following data? } & \text { Men } & 4 & 5 & 6 \end{array}$

Accepted Answer

A)  1.596 
B)  4.140 
C)  1.686 
D)  5.769 
A)  1.596 
B)  4.140 
C)  1.686 
D)  5.769

Question 11

A random group of customers at a fast food chain was asked whether they preferred hamburgers, chicken sandwiches, or fish sandwiches. The restaurant's marketing department claims that $50 \%$ of customers prefer hamburgers, $32 \%$ of the customers prefer chicken sandwiches, and $18 \%$ of the customers prefer fish sandwiches. Is there evidence to reject this hypothesis at $= .05$ ?
$\begin{array}{cccc} 
& \text { Hamburger } & \text { Chicken } & \text { Fish } \
\text { Number of orders } & 34 & 18 & 6
\end{array}$

Accepted Answer

A) There is evidence to reject the claim that the customers' preferences are distributed as claimed because . the test value $7.815 > 2.767$ B) There is not evidence to reject the claim that the customers' preferences are distributed as claimed . because the test value $2.767 2.767$ D) There is not evidence to reject the claim that the customers' preferences are distributed as claimed because the test value $2.767 < 7.815$ A) There is evidence to reject the claim that the customers' preferences are distributed as claimed because . the test value $7.815 > 2.767$ B) There is not evidence to reject the claim that the customers' preferences are distributed as claimed . because the test value $2.767 2.767$ D) There is not evidence to reject the claim that the customers' preferences are distributed as claimed because the test value $2.767 < 7.815$

Question 12

A health club has six tennis courts. The owner hypothesizes that his patrons have no preference for a particular court. He observes how many people play on each court on a particular day. What is the
$\begin{array} { l l l } & \text { Court } & \text { Number of P } \ & 1 & 9 \ & 2 & 10 \ & 3 & 11 \ \text { expected value for the data shown below? } & 4 & 6 \ & 5 & 14 \ & 6 & 7 \end{array}$

Accepted Answer

A)  9.5 
B)  4.37 
C)  5.72 
D)  10.3 
A)  9.5 
B)  4.37 
C)  5.72 
D)  10.3

Question 13

What is the expected value?

Accepted Answer

A)  112 
B)  247 
C)  120 
D)  171 
A)  112 
B)  247 
C)  120 
D)  171

Question 14

A random group of students was selected from a large student conference to analyze their class in school Is there evidence to reject the hypothesis that the number of students is equally distributed between the
$\begin{array} { c c c c c c } & \text { Year in school } & \text { Freshman } & \text { Sophomore } & \text { Junior } & \text { Senior } \ \text { four classes, at } = .05 ? & \text { Number of students } & 12 & 9 & 15 & 20 \end{array}$

Accepted Answer

A) There is evidence to reject the claim that students are equally distributed between the four classes . because the test value $7.815 > 4.714$ B) There is not evidence to reject the claim that students are equally distributed between the four classes . because the test value $4.714 4.714$ D) There is not evidence to reject the claim that students are equally distributed between the four classes . because the test value $4.714 < 7.815$ . A) There is evidence to reject the claim that students are equally distributed between the four classes . because the test value $7.815 > 4.714$ B) There is not evidence to reject the claim that students are equally distributed between the four classes . because the test value $4.714 4.714$ D) There is not evidence to reject the claim that students are equally distributed between the four classes . because the test value $4.714 < 7.815$ .

Question 15

What is the critical value?

Accepted Answer

A)  18.475 
B)  16.812 
C)  12.592 
D)  14.067 
A)  18.475 
B)  16.812 
C)  12.592 
D)  14.067

Question 16

The chi-square independence test can be used to test the independence of two variables.

Accepted Answer

A) True 
 B)False

Question 17

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.
$\begin{array} { l l c } & \text { Dessert } & \text { Frequenc } \ & \text { Chocolate Mousse } & 25 \ & \text { Baked Alaska } & 12 \ & \text { Orange Cheesecake } & 23 \ & \text { Caramel Flan } & 32 \ & \text { Banana Brûlée } & 40 \ & \text { Mississippi Mud Pie } & 20 \ & \text { Ricotta Cannoli } & 38 \ \text { Table 11-2 } & \text { French Walnut Torte } & 34 \end{array}$
-What is the expected value?

Accepted Answer

A)  38 
B)  25 
C)  30 
D)  28 
A)  38 
B)  25 
C)  30 
D)  28

Question 18

A four-year university has decided to implement a new approach to teaching statistics. Full-time and
adjunct professors were surveyed to determine whether they preferred the traditional lecture approach or
a computer approach for teaching statistics. Use hypothesis testing to test the independence of opinion
between the two groups.
 $$\begin{array}{l}
\text { Table 11-3 }\
\begin{array} { l l l l } 
& \text { Prefer Lecture } & \text { Prefer Computer } & \text { No Preference } \
\text { Full-time } & 8 & 13 & 6 \
\text { Adjunct } & 11 & 22 & 10
\end{array}
\end{array}$$
-What is the expected value of an adjunct professor who prefers computer instruction?

Accepted Answer

A)  21.50 
B)  13.50 
C)  11.67 
D)  9.83 
A)  21.50 
B)  13.50 
C)  11.67 
D)  9.83

Question 19

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.
$\begin{array} { l l c } & \text { Dessert } & \text { Frequenc } \ & \text { Chocolate Mousse } & 25 \ & \text { Baked Alaska } & 12 \ & \text { Orange Cheesecake } & 23 \ & \text { Caramel Flan } & 32 \ & \text { Banana Brûlée } & 40 \ & \text { Mississippi Mud Pie } & 20 \ & \text { Ricotta Cannoli } & 38 \ \text { Table 11-2 } & \text { French Walnut Torte } & 34 \end{array}$
-What is the critical value?

Accepted Answer

A)  20.090 
B)  13.362 
C)  14.067 
D)  15.507 
A)  20.090 
B)  13.362 
C)  14.067 
D)  15.507

Question 20

The following table lists the sugar content of two types of apples from three different orchards. At $= .05$, test the claim that the sugar content of the apples and the orchard where they were grown are not related .
$\begin{array}{lccc}
\text { Sugar Content } & \text { Orchard 1 } & \text { Orchard 2 } & \text { Orchard } 3 \
\text { Apple Type 1 } & 3 & 2 & 3 \
\text { Apple Type 2 } & 23 & 10 & 3
\end{array}$

Accepted Answer

A) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are . not related because the test value $5.991 > 4.873$ B) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number . are not related because the test value $4.873 2.687$ D) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number . are not related because the test value $2.687 < 12.592$ A) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are . not related because the test value $5.991 > 4.873$ B) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number . are not related because the test value $4.873 2.687$ D) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number . are not related because the test value $2.687 < 12.592$

The degrees of freedom for a $3 \times 5$ contingency table are . ______________________________

Two allergists recorded the main area of allergy for new patients during one month. At $= .05$ , test the claim that the allergy diagnosis and the doctor that treated the patients are independent Allergies Pollen Food Mould Pets Doctor 1 8 5 8 6 Doctor 2 32 5 11 22

The test of homogeneity of proportions is used to determine whether the proportions for a variable are unequal when several samples are selected from different populations.

The critical chi-square value for 15 degrees of freedom when $a = 0.05$ and the test is right-tailed is 19.675.

The computational procedure for homogeneity of proportions differs from that of the test of independence in that it takes into account the standard deviation.

$\chi ^ { 2 } = \sum \frac { | O - E | - 0.5 ^ { 2 } } { E }$ The method that uses the formula is called the __________ correction for continuity.

When data are arranged in table form for the chi-square independence test, it is called a table. ______________________________

Chicken, hot dogs, and hamburgers were served during a recent barbecue. The host assumed that there would be no difference between what the women chose to eat and what the men chose to eat. What is the Chicken Hot Dogs Hamburgers Women 7 3 4 test value for the following data? Men 4 5 6

A health club has six tennis courts. The owner hypothesizes that his patrons have no preference for a particular court. He observes how many people play on each court on a particular day. What is the Court Number of P 1 9 2 10 3 11 expected value for the data shown below? 4 6 5 14 6 7

What is the expected value?

What is the critical value?

The chi-square independence test can be used to test the independence of two variables.

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 3×53 \times 53×5 contingency table are __________. ________________________________________

Two allergists recorded the main area of allergy for new patients during one month. At =.05= .05=.05 , test the claim that the allergy diagnosis and the doctor that treated the patients are independent Allergies Pollen Food Mould Pets Doctor 1 8 5 8 6 Doctor 2 32 5 11 22

The test of homogeneity of proportions is used to determine whether the proportions for a variable are unequal when several samples are selected from different populations.

The critical chi-square value for 15 degrees of freedom when a=0.05a = 0.05a=0.05 and the test is right-tailed is 19.675.

The computational procedure for homogeneity of proportions differs from that of the test of independence in that it takes into account the standard deviation.

χ2=∑∣O−E∣−0.52E\chi ^ { 2 } = \sum \frac { | O - E | - 0.5 ^ { 2 } } { E }χ2=∑E∣O−E∣−0.52​ The method that uses the formula is called the __________ correction for continuity.

When data are arranged in table form for the chi-square independence test, it is called a __________ table. ________________________________________

Chicken, hot dogs, and hamburgers were served during a recent barbecue. The host assumed that there would be no difference between what the women chose to eat and what the men chose to eat. What is the Chicken Hot Dogs Hamburgers Women 7 3 4 test value for the following data? Men 4 5 6

A health club has six tennis courts. The owner hypothesizes that his patrons have no preference for a particular court. He observes how many people play on each court on a particular day. What is the Court Number of P 1 9 2 10 3 11 expected value for the data shown below? 4 6 5 14 6 7

What is the expected value?

What is the critical value?

The chi-square independence test can be used to test the independence of two variables.

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 $3 \times 5$ contingency table are . ______________________________

Two allergists recorded the main area of allergy for new patients during one month. At $= .05$ , test the claim that the allergy diagnosis and the doctor that treated the patients are independent Allergies Pollen Food Mould Pets Doctor 1 8 5 8 6 Doctor 2 32 5 11 22

The critical chi-square value for 15 degrees of freedom when $a = 0.05$ and the test is right-tailed is 19.675.

$\chi ^ { 2 } = \sum \frac { | O - E | - 0.5 ^ { 2 } } { E }$ The method that uses the formula is called the __________ correction for continuity.

When data are arranged in table form for the chi-square independence test, it is called a table. ______________________________