Mathematics

Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%.

 

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0.2843

-0.2843

0.2157

0.5686

 

5 points

 

Find the P-value for the indicated hypothesis test. An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Find the P-value for a test of the researcher’s claim.

 

0.0019

0.0015

0.0038

0.0529

 

5 points

 

Find the critical value or values of

CritValX2

based on the given information. H1:

sigma  > 3.5 n = 14

Alpha  = 0.05

 

22.362

5.892

24.736

23.685

 

5 points

 

Find the critical value or values of

CritValX2

based on the given information. H1:

sigma  > 26.1 n = 9

Alpha   = 0.01

 

1.646

21.666

20.090

2.088

 

5 points

 

Find the number of successes x suggested by the given statement. A computer manufacturer randomly selects 2850 of its computers for quality assurance and finds that 1.79% of these computers are found to be defective.

 

51

56

54

49

 

5 points

 

Assume that you plan to use a significance level of alpha = 0.05 to test the claim that p1 = p2, Use the given sample sizes andnumbers of successes to find the pooled estimate

p-bar

 

Round your answer to the nearest thousandth. n1 = 570;n2 = 1992 x1 = 143;x2 = 550

 

0.541

0.270

0.520

0.216

 

5 points

 

Assume that you plan to use a significance level of alpha = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test. A report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized and 20 out of 208 without pet dogs were burglarized.

 

z = -0.041

z = -0.102

z = 0.000

z = -0.173

 

5 points

 

Assume that you plan to use a significance level of alpha = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test. n1 = 50;n2 = 75 x1 = 20;x2 = 15

 

0.0032

0.0146

0.1201

0.0001

 

5 points

 

Question 16

 

Construct the indicated confidence interval for the difference between population proportions p1 – p2. Assume that the samples are independent and that they have been randomly selected. x1 = 61, n1 = 105 and x2 = 82, n2 = 120; Construct a 98% confidence interval for the difference between population proportions p1 – p2.

 

0.456 < p1 – p2 < 0.707

0.432 < p1 – p2 < 0.730

-0.228 < p1 – p2 < 0.707

-0.252 < p1 – p2 < 0.047

 

5 points

 

State what the given confidence interval suggests about the two population means. A researcher was interested in comparing the heights of women in two different countries. Independent simple random samples of 9 women from country A and 9 women from country B yielded the following heights (in inches).

W1T18

 

The following 90% confidence interval was obtained for mu1 – mu2, the difference between the mean height of women in country A and the mean height of women in country B.-4.34 in. < mu1 – mu2 < -0.03 in What does the confidence interval suggest about the population means?

 

The confidence interval includes only negative values which suggests that the mean height of women from country A is greater than the mean height of women from country B.

 

The confidence interval includes only negative values which suggests that the two population means might be equal. There doesn’t appear to be a significant difference between the mean height of women from country A and the mean height of women from country B.

 

The confidence interval includes only negative values which suggests that the mean height of women from country A is smaller than the mean height of women from country B.

 

The confidence interval includes 0 which suggests that the two population means might be equal. There doesn’t appear to be a significant difference between the mean height of women from country A and the mean height of women from country B.

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