Question 1

A researcher believes that a variable is Poisson distributed across six categories.To test this,the following random sample of observations is collected:  
Using $\alpha$ = 0.10,the critical chi-square value for this goodness-of-fit test is ___.

Accepted Answer

A) 1.064 
B) 13.277 
C) 9.236 
D) 8.799 
E) 7.779

Question 2

Catherine Chao,Director of Marketing Research,is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by children in the household.Her staff prepared the following contingency table from a random sample of 100 households: 
 Using $\alpha$ = .05,the observed value of chi-square is ___.

Accepted Answer

A) 5.28 
B) 9.49 
C) 13.19 
D) 16.79 
E) 18.79

Question 3

A chi-square goodness-of-fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories,and lambda must be estimated.Alpha is chosen to be 0.10.The critical (table)value of chi-square is ___.

Accepted Answer

A) 10.645 
B) 12.017 
C) 3.828 
D) 16.812 
E) 17.345

Question 4

The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is same as the expected distribution.

Accepted Answer

A) True 
 B)False

Question 5

The executives of CareFree Insurance,Inc.feel that "a minority of our employees perceive an authoritarian management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis.Eighty employees rate the management as authoritarian.Using $\alpha$ = 0.05,the appropriate decision is ___.

Accepted Answer

A) do not reject the null hypothesis p > 0.50 
B) reject the null hypothesis p = 0.50 
C) reject the null hypothesis $\mu$ > 80 
D) do not reject the null hypothesis $\mu$ $\le$ 80 
E) do nothing

Question 6

A two-way table used for a test of independence is sometimes called a contingency table.

Accepted Answer

A) True 
 B)False

Question 7

Ophelia O'Brien,VP of Consumer Credit of Credit First Banks (CFB),monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using $\alpha$ = 0.01,the appropriate decision is ___.

Accepted Answer

A) reject the null hypothesis p > 0.05 
B) do not reject the null hypothesis p = 0.05 
C) reject the null hypothesis $\mu$ > 30 
D) do not reject the null hypothesis $\mu$$\le$ 30 
E) do nothing

Question 8

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 12.

Accepted Answer

A) True 
 B)False

Question 9

Ophelia O'Brien,VP of Consumer Credit of Credit First Banks (CFB),monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using $\alpha$ = 0.01,observed chi-square value is ___.

Accepted Answer

A) 13.38 
B) 26.29 
C) 2.09 
D) 1.05 
E) 3.98

Question 10

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

Accepted Answer

A) True 
 B)False

Question 11

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.  The null hypothesis is ___.

Accepted Answer

A) "income" is independent of "type of gasoline" 
B) "income" influences "type of gasoline" 
C) "income" is not independent of "type of gasoline" 
D) "income" is related to "type of gasoline" 
E) "regular" is independent of "premium"

Question 12

A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?

Accepted Answer

A) 6 
B) 5 
C) 4 
D) 3 
E) 1

Question 13

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using $\alpha$ = .01,the appropriate decision is ___.

Accepted Answer

A) do not reject the null hypothesis that the observed distribution is uniform 
B) do not reject the null hypothesis that the observed distribution is not uniform 
C) reject the null hypothesis that the observed distribution is uniform 
D) reject the null hypothesis that the observed distribution is not uniform 
E) do nothing

Question 14

Use the chi-square goodness-of-fit test to analyze probabilities of multinomial distribution trials along a single dimension.

Accepted Answer

The answer of Use the chi-square goodness-of-fit test to analyze...

Question 15

Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B';variable two has values of 'C','D',and 'E'. 
 Using $\alpha$ = 0.05,the expected frequency in row 1 (A)column 1 (C)is ___.

Accepted Answer

A) 9.6 
B) 12 
C) 16 
D) 10 
E) 20

Question 16

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using $\alpha$ = .01,the observed chi-square value is ___.

Accepted Answer

A) 1.18 
B) 9.10 
C) 20.27 
D) 4.51 
E) 19.70

Question 17

The executives of CareFree Insurance,Inc.feel that "a minority of our employees perceive an authoritarian management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis.Eighty employees rate the management as authoritarian.Using $\alpha$ = 0.05,the observed value of chi-square is ___.

Accepted Answer

A) 8.00 
B) 2.82 
C) 4.00 
D) 9.71 
E) 9.97

Question 18

A chi?square goodness-of-fit test is being used to test the goodness-of-fit of a normal distribution (the mean and the standard deviation of which must be estimated)for a data with "k" categories.This test has (k-3)degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 19

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 27,30,29,21,and 24.Using $\alpha$ = .01,the observed value of chi-square is ___.

Accepted Answer

A) 12.09 
B) 9.82 
C) 13.28 
D) 17.81 
E) 2.09

Question 20

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased. 
 Using $\alpha$ = .01,the observed chi-square value is ___.

Accepted Answer

A) 24.93 
B) 4.44 
C) 32.89 
D) 51.79 
E) 54.98

Exam 16: Analysis of Categorical Data

A chi-square goodness-of-fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories,and lambda must be estimated.Alpha is chosen to be 0.10.The critical (table) value of chi-square is ___.

The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is same as the expected distribution.

A two-way table used for a test of independence is sometimes called a contingency table.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 12.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased. The null hypothesis is ___.

A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using $\alpha$ = .01,the appropriate decision is ___.

Use the chi-square goodness-of-fit test to analyze probabilities of multinomial distribution trials along a single dimension.

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using $\alpha$ = .01,the observed chi-square value is ___.

A chi?square goodness-of-fit test is being used to test the goodness-of-fit of a normal distribution (the mean and the standard deviation of which must be estimated)for a data with "k" categories.This test has (k-3)degrees of freedom.

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 27,30,29,21,and 24.Using $\alpha$ = .01,the observed value of chi-square is ___.

Exam 16: Analysis of Categorical Data

A researcher believes that a variable is Poisson distributed across six categories.To test this,the following random sample of observations is collected: Using α\alphaα = 0.10,the critical chi-square value for this goodness-of-fit test is ___.

A chi-square goodness-of-fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories,and lambda must be estimated.Alpha is chosen to be 0.10.The critical (table) value of chi-square is ___.

The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is same as the expected distribution.

A two-way table used for a test of independence is sometimes called a contingency table.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 12.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased. The null hypothesis is ___.

A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using α\alphaα = .01,the appropriate decision is ___.

Use the chi-square goodness-of-fit test to analyze probabilities of multinomial distribution trials along a single dimension.

Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B';variable two has values of 'C','D',and 'E'. Using α\alphaα = 0.05,the expected frequency in row 1 (A) column 1 (C) is ___.

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using α\alphaα = .01,the observed chi-square value is ___.

A chi?square goodness-of-fit test is being used to test the goodness-of-fit of a normal distribution (the mean and the standard deviation of which must be estimated)for a data with "k" categories.This test has (k-3)degrees of freedom.

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 27,30,29,21,and 24.Using α\alphaα = .01,the observed value of chi-square is ___.

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased. Using α\alphaα = .01,the observed chi-square value is ___.

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using $\alpha$ = .01,the appropriate decision is ___.

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using $\alpha$ = .01,the observed chi-square value is ___.

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 27,30,29,21,and 24.Using $\alpha$ = .01,the observed value of chi-square is ___.