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stat_.docx

QUESTION 1

1. The test statistic for testing independence between two categorical variables is assumed to have

A.

the normal distribution

B.

the t distribution

C.

the chi-square distribution

D.

the binomial distribution

1 points   

QUESTION 2

1. In order not to violate the requirements necessary to use the chi-square distribution in testing for independence, each expected frequency must be

A.

less than 2

B.

no more than 5

C.

at least 5

D.

at least 10

1 points   

QUESTION 3

1. Exhibit 11-1. In order to determine whether or not a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below.

 

Patients Cured

Patients Not Cured

Received medication

70

10

Received sugar pills

20

50

2.  

3. We are interested in determining whether or not the medication was effective in curing the common cold.

4.  Refer to Exhibit 11-1. The expected frequency of those who receive medication and are cured is

A.

48

B.

70

C.

28

D.

150

1 points   

QUESTION 4

1. Refer to Exhibit 11-1. The value of the test statistic is

A.

10.08

B.

1.64

C.

1.96

D.

54.02

1 points   

QUESTION 5

1. Refer to Exhibit 11-1. The number of degrees of freedom associated with this test is

A.

149

B.

9

C.

1

D.

4

1 points   

QUESTION 6

1. Refer to Exhibit 11-1. The hypothesis is to be tested at the 5% level of significance. The corresponding critical value from the chi-square distribution table equals

A.

3.841

B.

5.024

C.

9.340

D.

7.815

1 points   

QUESTION 7

1. Refer to Exhibit 11-1. The p-value of the test is

A.

between 0.005 and 0.01

B.

between 0.01 and 0.025

C.

between 0.025 and 0.05

D.

less than 0.005

1 points   

QUESTION 8

1. Refer to Exhibit 11-1. If the observed and expected frequencies are in the cells A1:A4 and B1:B4, respectively, then Excel’s function CHISQ.TEST(A1:A4, B1:B4)  yields

A.

the significance level of the test

B.

the critical value of the test

C.

the value of the test statistic

D.

the p-value of the test

1 points   

QUESTION 9

1. Exhibit 11-2. The results of a recent study regarding smoking and three types of illness are shown in the following table.

Illness

Non-Smokers

Smokers

Totals

Emphysema

20

60

80

Heart problem

70

80

150

Cancer

30

40

70

Totals

120

180

300

2. We are interested in determining whether or not illness is independent of smoking.

3. Refer to Exhibit 11-2. The expected frequency of those who have Emphysema and do not smoke is

A.

48

B.

28

C.

42

D.

32

1 points   

QUESTION 10

1. Refer to Exhibit 11-2. The expected frequency of those who have Cancer and smoke is

A.

48

B.

32

C.

42

D.

28

1 points   

QUESTION 11

1. Refer to Exhibit 11-2.  The value of the test statistic is

A.

10.516

B.

8.496

C.

2.645

D.

13.084

1 points   

QUESTION 12

1. Refer to Exhibit 11-2. The number of degrees of freedom associated with this test is

A.

3

B.

1

C.

2

D.

0

1 points   

QUESTION 13

1. Refer to Exhibit 11-2. The hypotheses are to be tested with a 99% confidence. The corresponding critical value from the chi-square distribution table equals

A.

7.879

B.

6.635

C.

10.597

D.

9.210

1 points   

QUESTION 14

1. Refer to Exhibit 11-2. The p-value of the test is

A.

between 0.025 and 0.05

B.

less than 0.005

C.

between 0.01 and 0.025

D.

between 0.005 and 0.01