Question 1

Frequencies obtained by calculation are called expected frequencies.

Accepted Answer

A) True 
 B)False

Question 2

$$\text { For two degrees of freedom, the value of } a \text { shown in the figure below is0.05 }$$

Accepted Answer

A) True 
 B)False

Question 3

A researcher selected a sample of 50 residents from each of three different cities to determine if citizens were willing to participate in a medical experiment. At $= .05$, test the claim that the proportions who will participate are equal. 
$\begin{array}{|l|c|c|c|}
\hline \text { Residents } & \text { City 1 } & \text { City 2 } & \text { City 3 } \
\hline \text { Willing to participate } & 20 & 12 & 26 \
\hline \text { Not willing to } & 30 & 38 & 24 \
\hline \text { participate } & & & \
\hline \text { Total } & 50 & 50 & 50 \
\hline
\end{array}$

Accepted Answer

A)  There is not evidence to reject the claim that the proportions are equal because the test value $12.592 >$ $1.237$ 
B)  There is not evidence to reject the claim that the proportions are equal because the test value $8.321 >$ $5.991$ 
C)  There is not evidence to reject the claim that the proportions are equal because the test value $1.237  5.991$ 
A)  There is not evidence to reject the claim that the proportions are equal because the test value $12.592 >$ $1.237$ 
B)  There is not evidence to reject the claim that the proportions are equal because the test value $8.321 >$ $5.991$ 
C)  There is not evidence to reject the claim that the proportions are equal because the test value $1.237  5.991$

Question 4

A random group of used books was selected from a book warehouse to analyze the books' condition. The book store believes that $26 \%$ of the books are in excellent condition, $36 \%$ are in very good condition, $21 \%$ are in fair condition, and $17 \%$ are in poor condition. Is there evidence to reject this hypothesis at = .05 ? 
$\begin{array}{lcccc}
\text { Book condition } & \text { Excellent } & \text { Very good } & \text { Fair } & \text { Poor } \
\text { Number of books } & 22 & 25 & 19 & 8
\end{array}$

Accepted Answer

A)  There is not evidence to reject the claim that the books are distributed as claimed because the test value $2.935  2.935$ 
C)  There is not evidence to reject the claim that the books are distributed as claimed because the test value $2.935  2.935$ 
A)  There is not evidence to reject the claim that the books are distributed as claimed because the test value $2.935  2.935$ 
C)  There is not evidence to reject the claim that the books are distributed as claimed because the test value $2.935  2.935$

Question 5

Six different brands of popcorn were tested for popping. Two hundred kernels of each brand were popped, and the number of kernels that did not pop was counted. Determine the expected value and then
$\begin{array} { l l l } & \text { Brand } & \text { Number of k } \ & 21 \ \text { plot it on a graph with the observed values. } & \text { F } & 13 \ & \text { C } & 24 \ & \text { D } & 16 \ & \text { E } & 12 \ & & 22 \end{array}$

Accepted Answer

The expect

Question 6

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 test value?

Accepted Answer

A)  0.36 
B)  0.97 
C)  0.14 
D)  1.24 
A)  0.36 
B)  0.97 
C)  0.14 
D)  1.24

Question 7

A product testing laboratory selected a sample of 20 printers from two different manufacturers to determine if they could print more than 100,000 pages without breaking down. At $= .05$, test the claim that the proportions of printers from Manufacturer 1 and Manufacturer 2 that lasted for more than $100,000 \text { pages are equal. }$ 
$\begin{array}{lcc} 
& \text { Manufacturer 1 } & \text { Manufacturer 2 } \
\text { Lasted past } 100,000 & 12 & 7 \
\text { Did not last to } 100,000 & 8 & 13 \
\text { Total } & 20 & 20
\end{array}$

Accepted Answer

A)  There is not evidence to reject the claim that the proportions are equal because the test value $2.506  1.003$ 
C)  There is not evidence to reject the claim that the proportions are equal because the test value $2.506 $ $1.003$ 
A)  There is not evidence to reject the claim that the proportions are equal because the test value $2.506  1.003$ 
C)  There is not evidence to reject the claim that the proportions are equal because the test value $2.506 $ $1.003$

Question 8

What is the test value?

Accepted Answer

A)  2.82 
B)  100 
C)  72.12 
D)  33.78 
A)  2.82 
B)  100 
C)  72.12 
D)  33.78

Question 9

An insurance representative wants to determine if the proportions of women and men who buy different policy types are the same. The actual sales results for 50 women and 50 men
$\begin{array} { l l c c } & & \text { Policy A } & \text { Policy B } \ & \text { Women } & 18 & 32 \ \text { are: } & \text { Men } & 12 & 38 \end{array}$
Under the null hypothesis, what is the expected number of men who would buy Policy B?

Accepted Answer

A)  25 
B)  30 
C)  35 
D)  50 
A)  25 
B)  30 
C)  35 
D)  50

Question 10

This table lists the number of students from three different high schools participating in the mathematics and physics sections of a science fair. At $= .05$, test the claim that the section of participation and the high school where the students were from are
$\begin{array} { l l c c c } & \text { Number of Students } & \text { High School 1 } & \text { High School } 2 & \text { High School } 3 \ & \text { Mathematics } & 9 & 12 & 14 \ \text { independent. } & \text { Physics } & 34 & 27 & 22 \end{array}$

Accepted Answer

A) There is evidence to reject the claim that the high school and the section of participation are . independent because the test value $12.592 > 0.914$ B) There is not evidence to reject the claim that the high school and the section of participation are independent because the test value $0.914 0.914$ D) There is not evidence to reject the claim that the high school and the section of participation are independent because the test value $3.063 < 5.991$ A) There is evidence to reject the claim that the high school and the section of participation are . independent because the test value $12.592 > 0.914$ B) There is not evidence to reject the claim that the high school and the section of participation are independent because the test value $0.914 0.914$ D) There is not evidence to reject the claim that the high school and the section of participation are independent because the test value $3.063 < 5.991$

Question 11

A biologist had mice and rats run through a maze and recorded the number that finished the maze successfully and the number that did not. This table lists the results of the study. At $= .05$, test the claim that the rodent type and the success of finishing the maze are not related 
$\begin{array}{lcc} 
& \text { Mice } & \text { Rats } \
\text { Finished } & 22 & 27 \
\text { Did not Finish } & 26 & 16
\end{array}$

Accepted Answer

A) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not . related because the test value $3.841 > 2.624$ B) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not . related because the test value $9.488 > 1.365$ C) There is not evidence to reject the claim that the rodent type and the success of finishing the maze are . not related because the test value $2.624 < 3.841$ D) There is not evidence to reject the claim that the rodent type and the success of finishing the maze are . not related because the test value $1.365 < 9.488$ A) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not . related because the test value $3.841 > 2.624$ B) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not . related because the test value $9.488 > 1.365$ C) There is not evidence to reject the claim that the rodent type and the success of finishing the maze are . not related because the test value $2.624 < 3.841$ D) There is not evidence to reject the claim that the rodent type and the success of finishing the maze are . not related because the test value $1.365 < 9.488$

Question 12

A contingency table is designated as $C \times R$ (columns times rows) table.

Accepted Answer

A) True 
 B)False

Question 13

The test of independence of variables is used to determine whether two variables are independent of or
related to each other when a single sample is selected.

Accepted Answer

A) True 
 B)False

Question 14

A random group of seniors was selected from a university and asked about their plans for the following year. The school advising office claims that $50 \%$ of the students plan to work, $30 \%$ of the students plan to continue in school, and $20 \%$ of the students plan to take some time off. Is there evidence to reject this
$\begin{array} { l l c c c } & \text { Plans } & \text { Work } & \text { School } & \text { Time off } \ \text { hypothesis at } = .05 ? & \text { Number of students } & 22 & 16 & 10 \end{array}$

Accepted Answer

A)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value $0.361  0.361$ 
C)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value $0.361  0.361$ 
A)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value $0.361  0.361$ 
C)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value $0.361  0.361$

Question 15

A random sample of oranges was selected from an orchard to analyze the oranges' ripeness. Based on the time of year, the orchard owner believes that $20 \%$ of the oranges are ready for picking now, $40 \%$ will be ready in three days, $20 \%$ will be ready in one week, and $20 \%$ will be ready in two weeks. Is there $\text { evidence to reject this hypothesis at }=.05 ?$

$\begin{array}{ccccc}
\text { Ripeness of oranges } & \text { Ready } & \text { Ready in } & \text { Ready in } & \text { Ready in two weeks }\end{array}$

$\begin{array}{ccccc}
\text { Number of oranges } & 10 & 19 & 14 & 16
\end{array}$

Accepted Answer

A)  There is not evidence to reject the claim that the oranges are distributed as claimed because the test value $3.076  3.076$ 
C)  There is not evidence to reject the claim that the oranges are distributed as claimed because the test value $3.076  3.076$ 
A)  There is not evidence to reject the claim that the oranges are distributed as claimed because the test value $3.076  3.076$ 
C)  There is not evidence to reject the claim that the oranges are distributed as claimed because the test value $3.076  3.076$

Question 16

Cattle are classified according to age (young, medium, and old) and carcass quality (grades A, B, and C). In one study, the animals were classified  as :

The chi-square statistic for testing if there is an association between age and grade was calculated. The rejection region for this test is (use $a = 0.01$ ):

Accepted Answer

A) $X ^ { 2 } > 9.488$ B) $X ^ { 2 } 14.86$ C) $X ^ { 2 } > 13.277$ D) $2.180 < X ^ { - 2 } < 17.535$ A) $X ^ { 2 } > 9.488$ B) $X ^ { 2 } 14.86$ C) $X ^ { 2 } > 13.277$ D) $2.180 < X ^ { - 2 } < 17.535$

Question 17

A researcher wishes to determine if there is a relationship between the age of working individuals and the amount of coffee consumed. The following data were obtained for the number of cups of coffee consumed per day:

$\begin{array}{clll} 
& \mathbf{2} \text { cups or fewer } & \mathbf{6} \text { cups or more } & \text { Total } \
35 \text { years } & 20 & 5 & 25 \
35 \text { or older } & 19 & 21 & 40
\end{array}$

Choose the best option from the choices below:

Accepted Answer

A)  A z-test statistic could be used to test the null hypothesis. 
B)  A chi-square test statistic could be used to test the null hypothesis. 
C)  Either a z-test or a chi-square test could be used to test the null hypothesis. 
D)  A t-test statistic could be used to test the null hypothesis. 
A)  A z-test statistic could be used to test the null hypothesis. 
B)  A chi-square test statistic could be used to test the null hypothesis. 
C)  Either a z-test or a chi-square test could be used to test the null hypothesis. 
D)  A t-test statistic could be used to test the null hypothesis.

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 to lecture?

Accepted Answer

A)  7.33 
B)  11.67 
C)  21.50 
D)  9.83 
A)  7.33 
B)  11.67 
C)  21.50 
D)  9.83

Question 19

A manager of a health club believes that 32% of the members joined his club in the winter, 24% joined in
the spring, 20% joined in the summer, and 24% joined in the fall. The number of memberships this year
shows that 110 joined in the winter, 70 joined in the spring, 60 in the summer, and 68 in the fall. The test value for this scenario would be 2.05.

Accepted Answer

A) True 
 B)False

Question 20

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 a full-time professor who has no preference?

Accepted Answer

A)  13.50 
B)  9.83 
C)  6.17 
D)  7.33 
A)  13.50 
B)  9.83 
C)  6.17 
D)  7.33

Frequencies obtained by calculation are called expected frequencies.

$\text { For two degrees of freedom, the value of } a \text { shown in the figure below is0.05 }$ $\text { For two degrees of freedom, the value of } a \text { shown in the figure below is0.05 }$

Six different brands of popcorn were tested for popping. Two hundred kernels of each brand were popped, and the number of kernels that did not pop was counted. Determine the expected value and then Brand Number of k 21 plot it on a graph with the observed values. F 13 C 24 D 16 E 12 22

What is the test value?

A contingency table is designated as $C \times R$ (columns times rows) table.

The test of independence of variables is used to determine whether two variables are independent of or related to each other when a single sample is selected.

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

Frequencies obtained by calculation are called expected frequencies.

For two degrees of freedom, the value of a shown in the figure below is0.05 \text { For two degrees of freedom, the value of } a \text { shown in the figure below is0.05 } For two degrees of freedom, the value of a shown in the figure below is0.05

Six different brands of popcorn were tested for popping. Two hundred kernels of each brand were popped, and the number of kernels that did not pop was counted. Determine the expected value and then Brand Number of k 21 plot it on a graph with the observed values. F 13 C 24 D 16 E 12 22

What is the test value?

A contingency table is designated as C×RC \times RC×R (columns times rows) table.

The test of independence of variables is used to determine whether two variables are independent of or related to each other when a single sample is selected.

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

$\text { For two degrees of freedom, the value of } a \text { shown in the figure below is0.05 }$ $\text { For two degrees of freedom, the value of } a \text { shown in the figure below is0.05 }$

A contingency table is designated as $C \times R$ (columns times rows) table.