Question 1

For the goodness-of-fit test for normality,the null and alternative hypotheses are _____________________.

Accepted Answer

A)  H0: Data does not follow a normal distribution,HA: Data follows a normal distribution 
B)  H0: Data follows a normal distribution,HA: Data does not follow a normal distribution 
C)  H0: Data follows a normal distribution,HA: Data are skewed right 
D)  H0: Data follows a normal distribution,HA: Data are skewed left 
A)  H0: Data does not follow a normal distribution,HA: Data follows a normal distribution 
B)  H0: Data follows a normal distribution,HA: Data does not follow a normal distribution 
C)  H0: Data follows a normal distribution,HA: Data are skewed right 
D)  H0: Data follows a normal distribution,HA: Data are skewed left B

Question 2

A university has six colleges and takes a poll to gauge student support for a tuition increase.The university wants to ensure each college is represented fairly.The below table shows the observed number of students who participate in the poll from each college and the actual proportion of students in each college.   For the goodness-of-fit test,the assumed degrees of freedom are _____.

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  5 
A)  2 
B)  3 
C)  4 
D)  5 D

Question 3

A goodness-of-fit test analyzes for two qualitative variables whereas a chi-square test of a contingency table is for a single qualitative variable.

Accepted Answer

A) True 
 B)False  False

Question 4

The heights (in cm)for a random sample of 60 male employees of S&M Construction Company were measured.The sample mean is 166.5,the standard deviation is 12.57,the sample kurtosis is 0.12,and the sample skewness is −0.23.The null and alternative hypotheses for the Jarque-Bera test for normality are _________________________________.

Accepted Answer

A) H0:S 0,HA:S > 0 and K 0:S A:S > 0 or K ≠ 0 C) H0:S = 0 and K = 0,HA:S ≠ 0 or K ≠ 0 D) H0:S = 0 and K > 0,HA:S ≠ 0 and K < 0 A) H0:S 0,HA:S > 0 and K 0:S A:S > 0 or K ≠ 0 C) H0:S = 0 and K = 0,HA:S ≠ 0 or K ≠ 0 D) H0:S = 0 and K > 0,HA:S ≠ 0 and K < 0

Question 5

Suppose Bank of America would like to investigate if the credit score and income level of an individual are independent of one another.Bank of America selected a random sample of 400 adults and asked them to report their credit score range and their income range.The following contingency table presents these results.   The test statistic for this sample is ________.

Accepted Answer

A)  1.766 
B)  3.320 
C)  7.051 
D)  10.576 
A)  1.766 
B)  3.320 
C)  7.051 
D)  10.576

Question 6

A fund manager wants to know if it is equally likely that the Dow Jones Industrial Average will go up each day of the week.For each day of the week,the fund manager observes the following number of days when the Dow Jones Industrial Average goes up.   For the goodness-of-fit test,the null and alternative hypotheses are ________________________________________.

Accepted Answer

A)  H0:p1 = p2 = p3 = p4 = 1/4,HA: Not all population proportions are equal to 1/4 
B)  H0:p1 = p2 = p3 = p4 = p5 = 1/5,HA: Not all population proportions are equal to 1/5 
C)  H0:p1 = p2 = p3 = p4 = p5 = 1/4,HA: Not all population proportions are equal to 1/4 
D)  H0:p1 = p2 = p3 = p4 = 1/5,HA: Not all population proportions are equal to 1/5 
A)  H0:p1 = p2 = p3 = p4 = 1/4,HA: Not all population proportions are equal to 1/4 
B)  H0:p1 = p2 = p3 = p4 = p5 = 1/5,HA: Not all population proportions are equal to 1/5 
C)  H0:p1 = p2 = p3 = p4 = p5 = 1/4,HA: Not all population proportions are equal to 1/4 
D)  H0:p1 = p2 = p3 = p4 = 1/5,HA: Not all population proportions are equal to 1/5

Question 7

A university has six colleges and takes a poll to gauge student support for a tuition increase.The university wants to ensure each college is represented fairly.The below table shows the observed number of students who participate in the poll from each college and the actual proportion of students in each college.   The p-value is ______________.

Accepted Answer

A)  less than 0.01 
B)  between 0.01 and 0.05 
C)  between 0.05 and 0.10 
D)  greater than 0.10 
A)  less than 0.01 
B)  between 0.01 and 0.05 
C)  between 0.05 and 0.10 
D)  greater than 0.10

Question 8

For the chi-square test of a contingency table,the expected cell frequencies are found as ________________.

Accepted Answer

A)  the row total multiplied by the column total divided by the sample size 
B)  the observed cell frequency 
C)  (r−1)(c−1) 
D)  rc 
A)  the row total multiplied by the column total divided by the sample size 
B)  the observed cell frequency 
C)  (r−1)(c−1) 
D)  rc

Question 9

If a test statistic has a value of X and is assumed to be χ2 distributed with df degrees of freedom,then the p-value for a right-tailed test found by using Excel's command ________________________.

Accepted Answer

A)  '=CHISQ.DIST.RT(X,Deg_freedom)' 
B)  '=CHISQ.DIST.RT(Deg_freedom,X)' 
C)  '=1-CHISQ.DIST.RT(X,Deg_freedom)' 
D)  '=1-CHISQ.DIST.RT(Deg_freedom,X)' 
A)  '=CHISQ.DIST.RT(X,Deg_freedom)' 
B)  '=CHISQ.DIST.RT(Deg_freedom,X)' 
C)  '=1-CHISQ.DIST.RT(X,Deg_freedom)' 
D)  '=1-CHISQ.DIST.RT(Deg_freedom,X)'

Question 10

The following table shows the distribution of employees in an organization.Martha Foreman,an analyst,wants to see if race has a bearing on the position a person holds with this company.   For the chi-square test for independence,the degrees of freedom used are _____.

Accepted Answer

A)  2 
B)  16 
C)  9 
D)  8 
A)  2 
B)  16 
C)  9 
D)  8

Question 11

Which of the following null hypotheses is used to test if five population proportions are the same?

Accepted Answer

A)  H0:p1 = p2 = p3 = p4 = p5 = 0.25 
B)  H0:p1 = p2 = p3 = p4 = 0.25 
C)  H0:p1 = p2 = p3 = p4 = 0.20 
D)  H0:p1 = p2 = p3 = p4 = p5 = 0.20 
A)  H0:p1 = p2 = p3 = p4 = p5 = 0.25 
B)  H0:p1 = p2 = p3 = p4 = 0.25 
C)  H0:p1 = p2 = p3 = p4 = 0.20 
D)  H0:p1 = p2 = p3 = p4 = p5 = 0.20

Question 12

What are the degrees of freedom for the goodness-of-fit test for normality?

Accepted Answer

A)  2 
B)  k−3 
C)  k−2 
D)  k−1 
A)  2 
B)  k−3 
C)  k−2 
D)  k−1

Question 13

For a chi-square goodness-of-fit test,the expected category frequencies are calculated using the sample category proportions.

Accepted Answer

A) True 
 B)False

Question 14

For the goodness-of-fit test,the chi-square test statistic will __________________.

Accepted Answer

A)  always equal zero 
B)  always be negative 
C)  be at least zero 
D)  always be equal ton 
A)  always equal zero 
B)  always be negative 
C)  be at least zero 
D)  always be equal ton

Question 15

The following table shows numerical summaries of the best quarter returns (in percentages)for a sample of 121 hedge funds.   a.Set up the competing hypotheses for the Jarque-Bera test for normality for the best quarter returns.
b.Calculate the value of the test statistic.
c.Specify the critical value at the 1% significance level.
d.Does the evidence suggest that the best quarter returns do not have a normal distribution?

Accepted Answer

When testing whether sample data are der

Question 16

For a chi-square test of a contingency table,each observation may be counted in multiple cells of the contingency table.

Accepted Answer

A) True 
 B)False

Question 17

The following frequency distribution shows the monthly stock returns for Home Depot for the years 2003 through 2007.   Over the time period,the following summary statistics are provided: Mean = 0.31%,Standard deviation = 6.49%,Skewness = 0.15,and Kurtosis = 0.38.At the 5% confidence level,which of the following is the correct conclusion for this goodness-of-fit test for normality?

Accepted Answer

A)  Reject the null hypothesis;conclude that monthly stock returnsare normally distributed with mean 0.31% and standard deviation 6.49%. 
B)  Reject the null hypothesis;conclude that monthly stock returnsare not normally distributed with mean 0.31% and standard deviation 6.49%. 
C)  Do not reject the null hypothesis;conclude that monthly stock returnsare normally distributedwith mean 0.31% and standard deviation 6.49% 
D)  Do not reject the null hypothesis;conclude that monthly stock returnsare not normally distributed with mean 0.31% and standard deviation 6.49%. 
A)  Reject the null hypothesis;conclude that monthly stock returnsare normally distributed with mean 0.31% and standard deviation 6.49%. 
B)  Reject the null hypothesis;conclude that monthly stock returnsare not normally distributed with mean 0.31% and standard deviation 6.49%. 
C)  Do not reject the null hypothesis;conclude that monthly stock returnsare normally distributedwith mean 0.31% and standard deviation 6.49% 
D)  Do not reject the null hypothesis;conclude that monthly stock returnsare not normally distributed with mean 0.31% and standard deviation 6.49%.

Question 18

For the goodness-of-fit test,the expected category frequencies found are the _________________________.

Accepted Answer

A)  sample proportions 
B)  hypothesized proportions 
C)  average of the hypothesized and sample proportions 
D)  proportions specified under the alternative hypothesis 
A)  sample proportions 
B)  hypothesized proportions 
C)  average of the hypothesized and sample proportions 
D)  proportions specified under the alternative hypothesis

Question 19

Suppose you want to determine if gender and major are independent.Which of the following tests should you use?

Accepted Answer

A)  Goodness-of-fit test for a multinomial experiment 
B)  Chi-square test for independence 
C)  Goodness-of-fit test for normality 
D)  Jarque-Bera test for normality 
A)  Goodness-of-fit test for a multinomial experiment 
B)  Chi-square test for independence 
C)  Goodness-of-fit test for normality 
D)  Jarque-Bera test for normality

Question 20

A manufacturer of flash drives for data storage operates a production facility that runs on three 8-hour shifts per day.The following contingency table shows the number of flash drives that were defective and not defective from each shift.   Based on the critical value approach and using α = 0.05,which of the following decisions and conclusions for this hypothesis test would be accurate?

Accepted Answer

A)  The test statistic is greater than the critical value;we reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are independent of one another. 
B)  The test statistic is greater than the critical value;we fail to reject the null hypothesis and can conclude that the quality of the flash drive production and the production shift are independent of one another. 
C)  The test statistic is less than the critical value;we fail to reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are not independent of one another. 
D)  The test statistic is less than the critical value;we reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are independent of one another. 
A)  The test statistic is greater than the critical value;we reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are independent of one another. 
B)  The test statistic is greater than the critical value;we fail to reject the null hypothesis and can conclude that the quality of the flash drive production and the production shift are independent of one another. 
C)  The test statistic is less than the critical value;we fail to reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are not independent of one another. 
D)  The test statistic is less than the critical value;we reject the null hypothesis and cannot conclude that the quality of the flash drive production and the production shift are independent of one another.

For the goodness-of-fit test for normality,the null and alternative hypotheses are _____________________.

A goodness-of-fit test analyzes for two qualitative variables whereas a chi-square test of a contingency table is for a single qualitative variable.

For the chi-square test of a contingency table,the expected cell frequencies are found as ________________.

If a test statistic has a value of X and is assumed to be χ² distributed with df degrees of freedom,then the p-value for a right-tailed test found by using Excel's command ________________________.

The following table shows the distribution of employees in an organization.Martha Foreman,an analyst,wants to see if race has a bearing on the position a person holds with this company. For the chi-square test for independence,the degrees of freedom used are _____.

Which of the following null hypotheses is used to test if five population proportions are the same?

What are the degrees of freedom for the goodness-of-fit test for normality?

For a chi-square goodness-of-fit test,the expected category frequencies are calculated using the sample category proportions.

For the goodness-of-fit test,the chi-square test statistic will __________________.

For a chi-square test of a contingency table,each observation may be counted in multiple cells of the contingency table.

For the goodness-of-fit test,the expected category frequencies found are the _________________________.

Suppose you want to determine if gender and major are independent.Which of the following tests should you use?

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Basic Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

Exam 12: Chi-Square Tests

For the goodness-of-fit test for normality,the null and alternative hypotheses are _____________________.

A goodness-of-fit test analyzes for two qualitative variables whereas a chi-square test of a contingency table is for a single qualitative variable.

For the chi-square test of a contingency table,the expected cell frequencies are found as ________________.

If a test statistic has a value of X and is assumed to be χ2 distributed with df degrees of freedom,then the p-value for a right-tailed test found by using Excel's command ________________________.

The following table shows the distribution of employees in an organization.Martha Foreman,an analyst,wants to see if race has a bearing on the position a person holds with this company. For the chi-square test for independence,the degrees of freedom used are _____.

Which of the following null hypotheses is used to test if five population proportions are the same?

What are the degrees of freedom for the goodness-of-fit test for normality?

For a chi-square goodness-of-fit test,the expected category frequencies are calculated using the sample category proportions.

For the goodness-of-fit test,the chi-square test statistic will __________________.

For a chi-square test of a contingency table,each observation may be counted in multiple cells of the contingency table.

For the goodness-of-fit test,the expected category frequencies found are the _________________________.

Suppose you want to determine if gender and major are independent.Which of the following tests should you use?

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Basic Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

If a test statistic has a value of X and is assumed to be χ² distributed with df degrees of freedom,then the p-value for a right-tailed test found by using Excel's command ________________________.