1) You wish to test the following claim (H1) at a significance level of =0.001.

Ho:p1=p2

H1:p1p2

You obtain 8% successes in a sample of size n1=500 from the first population. You obtain 9% successes in a sample of size n2=600 from the second population.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

The p-value is... (select one)

A) less than (or equal to)

B) greater than

This test statistic leads to a decision to... (select one)

A) reject the null.

B) accept the null.

C) fail to reject the null.

As such, the final conclusion is that... (select one)

A) There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. OR

B) There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. OR

C)The sample data support the claim that the first population proportion is not equal to the second population proportion. OR

D) There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proportion. OR

What is the confidence interval for the difference of the two proportions? (Report answers accurate to two decimal places.)

(

2) Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level.

The null and alternative hypothesis would be: (select one)

A) H0:pM=pF, H1:pMpF

B)H0:pM=pF, H1:pM

C) H0:pM=pF, H1:pM>pF

D) H0:M=F, H1:M>F

E) H0:M=F, H1:MF

F) H0:M=F, H1:M

The test is: (select one)

A) two-tailed

B) right-tailed

C) left-tailed

Based on a sample of 20 men, 35% owned cats. Based on a sample of 60 women, 40% owned cats

The test statistic is: (to 2 decimal places)

The p-value is: (to 4 decimal places)

Based on this we: (select one)

A) Fail to reject the null hypothesis

B) Reject the null hypothesis

3. Create 99.9% confidence interval for the following sample data: You obtain 474 successes in a sample of size n1=728 from the first population. You obtain 152 successes in a sample of size n2=380 from the second population.

What is the confidence interval for the difference of the two proportions? (Report answer accurate to two decimal places.)

( < p1p2< )

4. Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level.

The null and alternative hypothesis would be: (select one)

A) H0:N=D, H1:ND

B) H0:ND, H1:N

C) H0:ND, H1:N>D

D) H0:pNpD, H1:pN>pD

E) H0:pN=pD, H1:pNpD

F) H0:pNpD, H1:pN

The test is: (select one)

A) right-tailed

B) left-tailed

C) two-tailed

The sample consisted of 35 night students, with a sample mean GPA of 2.6 and a standard deviation of 0.02, and 35 day students, with a sample mean GPA of 2.57 and a standard deviation of 0.03.

The test statistic is: (to 2 decimals)

The p-value is: (to 4 decimals)

Based on this we: (select one)

A)Reject the null hypothesis

B) Fail to reject the null hypothesis

5. You wish to test the following claim (H1) at a significance level of =0.002.

Ho:1=2

H1:12

You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1=26 with a mean of ^x1=62.1 and a standard deviation of s1=9.2 from the first population. You obtain a sample of size n2=28 with a mean of ^x2=59.3 and a standard deviation of s2=15.5 from the second population.

What is the test statistic for this sample? (Report answer accurate to two decimal places.)

test statistic = ( )

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value = ( )

The p-value is...(select one)

A) less than (or equal to)

B) greater than

This p-value leads to a decision to... (select one)

A) reject the null

B) accept the null

C) fail to reject the null

As such, the final conclusion is that... (select one)

A) There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.

B) There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.

C) The sample data support the claim that the first population mean is not equal to the second population mean.

D) There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.

6. Give a 95% confidence interval, for 12 given the following information.

n1=55, ^x1=2.09, s1=0.65

n2=45, ^x2=1.72, s2=0.58

( , ) Round to 2 decimal places.

7. You wish to test the following claim (H1) at a significance level of =0.001. For the context of this problem, d=21 where the first data set represents a pre-test and the second data set represents a post-test.

Ho:d=0

H1:d0

You believe the population of difference in scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

pre-test, post-test

46.1 53.2

55.1 66.4

58.1 59.1

33.3 62.7

22.4 8.3

46.1 25.2

64.2 92

70.6 57.5

48.8 47.9

53.5 72.1

22.4 47.9

37.1 51.4

51.1 99.6

68.7 77.6

What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

p-value =

The p-value is... (select one)

A) less than (or equal to)

B) greater than

This test statistic leads to a decision to... (select one)

A) reject the null

B) accept the null

C) fail to reject the null

As such, the final conclusion is that... (select one)

A)There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.

B) There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.

C) The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0.

D) There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.

8. You wish to test the following claim (H1) at a significance level of =0.01. For the context of this problem, d=21where the first data set represents group 1 and the second data set represents group 2.

Ho:d=0

H1:d>0

You believe the population of differences is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

Group 1, Group 2

36.5 41.6

23.7 23.7

32.5 30.1

42.4 32.7

23.3 25.8

21.6 11.9

29.8 33.1

28.3 27.1

29.5 33.6

14.5 18.3

35.3 33.9

What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

p-value =

The p-value is... ( select one)

A) less than (or equal to)

B)greater than

This test statistic leads to a decision to... (select one)

A) reject the null

B) accept the null

C) fail to reject the null

As such, the final conclusion is that... (select one)

A) There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.

B) There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.

C) The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.

D)There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0.