Question 1

The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

Accepted Answer

A) True 
 B)False  False

Question 2

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the null hypothesis?

Accepted Answer

A) H0: π = 0.36 
B) H0: π = 0.41 
C) H0: π ≠ 0.36 
D) H0: µ = 0.41 
A) H0: π = 0.36 
B) H0: π = 0.41 
C) H0: π ≠ 0.36 
D) H0: µ = 0.41 B

Question 3

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one-sided test?

Accepted Answer

A) H1: π ≥ 0.10 B) H1: π > 0.10 C) H1: π ≤ 0.10 D) H1: π < 0.10 A) H1: π ≥ 0.10 B) H1: π > 0.10 C) H1: π ≤ 0.10 D) H1: π < 0.10 D

Question 4

When determining how well an observed set of frequencies fits an expected set of frequencies,what is the test statistic?

Accepted Answer

A) F-statistic 
B) t-statistic 
C) X2-statistic 
D) z-statistic 
A) F-statistic 
B) t-statistic 
C) X2-statistic 
D) z-statistic

Question 5

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results.   The degrees of freedom for the analysis are ________.

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
A) 1 
B) 2 
C) 3 
D) 4

Question 6

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the sample proportion?

Accepted Answer

A) 0.10 
B) 0.125 
C) 40 
D) 0.40 
A) 0.10 
B) 0.125 
C) 40 
D) 0.40

Question 7

For any chi-square goodness-of-fit test,the number of degrees of freedom is found by ________.

Accepted Answer

A) n - k − 1 
B) k − 1 
C) n + 1 
D) n + k 
A) n - k − 1 
B) k − 1 
C) n + 1 
D) n + k

Question 8

The chi-square distribution becomes more symmetrical as the ________.

Accepted Answer

A) number of variables increases 
B) chi-square value increases 
C) degrees of freedom decrease 
D) degrees of freedom increase 
A) number of variables increases 
B) chi-square value increases 
C) degrees of freedom decrease 
D) degrees of freedom increase

Question 9

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the critical value if the level of significance is 0.10?

Accepted Answer

A) −1.282 
B) ±1.645 
C) −2.576 
D) +2.576 
A) −1.282 
B) ±1.645 
C) −2.576 
D) +2.576

Question 10

Suppose we test H0: π1 = π2 at the 0.05 level of significance. If the z-test statistic is −1.07,what is our decision?

Accepted Answer

A) Reject the null hypothesis. 
B) Do not reject the null hypothesis. 
C) Take a larger sample. 
D) Reserve judgment. 
A) Reject the null hypothesis. 
B) Do not reject the null hypothesis. 
C) Take a larger sample. 
D) Reserve judgment.

Question 11

For a contingency table,the expected frequency for a cell is found by dividing the row total by the grand total.

Accepted Answer

A) True 
 B)False

Question 12

The claim that "40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job was available" is to be investigated at the 0.02 significance level. If 74 out of the 200 workers sampled said they would return to work,what is our decision?

Accepted Answer

A) Do not reject the null hypothesis because −0.866 lies in the region between +2.326 and −2.326. 
B) Do not reject the null hypothesis because −0.866 lies in the region between +2.576 and −2.576. 
C) Reject the null hypothesis because 37% is less than 40%. 
D) Do not reject the null hypothesis because 37% lies in the area between 0% and 40%. 
A) Do not reject the null hypothesis because −0.866 lies in the region between +2.326 and −2.326. 
B) Do not reject the null hypothesis because −0.866 lies in the region between +2.576 and −2.576. 
C) Reject the null hypothesis because 37% is less than 40%. 
D) Do not reject the null hypothesis because 37% lies in the area between 0% and 40%.

Question 13

What are the degrees of freedom for a contingency table analysis?

Accepted Answer

A) n - 1 
B) Rows − Columns 
C) (Rows)× (Columns) 
D) (Rows − 1)× (Columns − 1) 
A) n - 1 
B) Rows − Columns 
C) (Rows)× (Columns) 
D) (Rows − 1)× (Columns − 1)

Question 14

The shape of the chi-square distribution depends on the size of the sample.

Accepted Answer

A) True 
 B)False

Question 15

Which of the following can be used to test the hypothesis that two nominal variables are related?

Accepted Answer

A) A contingency table analysis 
B) A goodness-of-fit 
C) ANOVA table 
D) A regression analysis 
A) A contingency table analysis 
B) A goodness-of-fit 
C) ANOVA table 
D) A regression analysis

Question 16

What is the decision regarding the differences between the observed and expected frequencies if the critical value of the chi-square is 9.488 and the computed chi-square value is 6.079?

Accepted Answer

A) Fail to reject the null hypothesis; the difference is probably due to sampling error. 
B) Reject the null hypothesis. 
C) Fail to reject the alternate hypothesis. 
D) It is too close; reserve judgment. 
A) Fail to reject the null hypothesis; the difference is probably due to sampling error. 
B) Reject the null hypothesis. 
C) Fail to reject the alternate hypothesis. 
D) It is too close; reserve judgment.

Question 17

If 20 out of 50 students sampled live in a college dormitory,what is the estimated proportion of students at the university living in a dormitory?

Accepted Answer

A) 0.20 
B) 0.40 
C) 0.50 
D) 0.60 
A) 0.20 
B) 0.40 
C) 0.50 
D) 0.60

Question 18

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the z-test statistic?

Accepted Answer

A) +0.125 
B) +0.278 
C) −1.645 
D) +1.667 
A) +0.125 
B) +0.278 
C) −1.645 
D) +1.667

Question 19

Some important uses of the chi-square include testing for the association of two categorical variables.

Accepted Answer

A) True 
 B)False

Question 20

The number of trials and the population proportion are respectively represented by what symbols?

Accepted Answer

A) p and n 
B) α and β 
C) z and t 
D) n and π 
A) p and n 
B) α and β 
C) z and t 
D) n and π

The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the null hypothesis?

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one-sided test?

When determining how well an observed set of frequencies fits an expected set of frequencies,what is the test statistic?

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The degrees of freedom for the analysis are ________.

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the sample proportion?

For any chi-square goodness-of-fit test,the number of degrees of freedom is found by ________.

The chi-square distribution becomes more symmetrical as the ________.

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the critical value if the level of significance is 0.10?

Suppose we test H₀: π₁ = π₂ at the 0.05 level of significance. If the z-test statistic is −1.07,what is our decision?

For a contingency table,the expected frequency for a cell is found by dividing the row total by the grand total.

The claim that "40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job was available" is to be investigated at the 0.02 significance level. If 74 out of the 200 workers sampled said they would return to work,what is our decision?

What are the degrees of freedom for a contingency table analysis?

The shape of the chi-square distribution depends on the size of the sample.

Which of the following can be used to test the hypothesis that two nominal variables are related?

What is the decision regarding the differences between the observed and expected frequencies if the critical value of the chi-square is 9.488 and the computed chi-square value is 6.079?

If 20 out of 50 students sampled live in a college dormitory,what is the estimated proportion of students at the university living in a dormitory?

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the z-test statistic?

Some important uses of the chi-square include testing for the association of two categorical variables.

The number of trials and the population proportion are respectively represented by what symbols?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Exam 15: Nonparametric Methods: Nominal Level Hypothesis Tests

The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the null hypothesis?

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one-sided test?

When determining how well an observed set of frequencies fits an expected set of frequencies,what is the test statistic?

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The degrees of freedom for the analysis are ________.

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the sample proportion?

For any chi-square goodness-of-fit test,the number of degrees of freedom is found by ________.

The chi-square distribution becomes more symmetrical as the ________.

Suppose we test H0: π1 = π2 at the 0.05 level of significance. If the z-test statistic is −1.07,what is our decision?

For a contingency table,the expected frequency for a cell is found by dividing the row total by the grand total.

The claim that "40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job was available" is to be investigated at the 0.02 significance level. If 74 out of the 200 workers sampled said they would return to work,what is our decision?

What are the degrees of freedom for a contingency table analysis?

The shape of the chi-square distribution depends on the size of the sample.

Which of the following can be used to test the hypothesis that two nominal variables are related?

What is the decision regarding the differences between the observed and expected frequencies if the critical value of the chi-square is 9.488 and the computed chi-square value is 6.079?

If 20 out of 50 students sampled live in a college dormitory,what is the estimated proportion of students at the university living in a dormitory?

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the z-test statistic?

Some important uses of the chi-square include testing for the association of two categorical variables.

The number of trials and the population proportion are respectively represented by what symbols?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Suppose we test H₀: π₁ = π₂ at the 0.05 level of significance. If the z-test statistic is −1.07,what is our decision?