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Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the pooled estimate p. Round your answer to the nearest thousandth.n1 = 100               n2 = 100               x1 = 53                  x2 = 48

Select one:

a. 0.9901

b. 0.5050

c. 1.9802

d. 1.0100

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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.  In a random sample of 300 women, 59% favored stricter gun control legislation. In a random sample of 200 men, 38% favored stricter gun control legislation. Construct a 98% confidence interval for the difference between the population proportions p1 – p2.

Select one:

a. 0.2000 < p1 – p2 < 0.2200

b. 0.1900 < p1 – p2 < 0.2300

c. -2.1164 < p1 – p2 < 2.5363

d. 0.1064 < p1 – p2 < 0.3136

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Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.   Independent samples from two different populations yield the following data. x-bar1 = 763, x-bar2 = 585, s1 = 38, s2 = 31. The sample size is 478 for both samples. Find the 80% confidence interval for μ1 – μ2.

Select one:

a. 178.2000 < μ1 – μ2 < 177.8000

b. 941.0000 < μ1 – μ2 < 177.8000

c. 176.7167 < μ1 – μ2 < 180.8144

d. 175.1856 < μ1 – μ2 < 180.8144

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Assume that you plan to use a significance level of α = 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 = 100                  n2 = 100                  x1 = 12                    x2 = 18

Select one:

a. 0.0250

b. 0.1174

c. -1.1882

d. 1.9600

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A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of type A (the original paint) and 9 cans of type B (the modified paint) were selected and applied to similar surfaces. The following 98% confidence interval was obtained for μ1 – μ2, the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type B:-2.90 hrs < μ1 – μ2 < 7.50 hrsWhat does the confidence interval suggest about the population means?

Select one:

a. The confidence interval includes only positive values, which suggests that the two population means might be equal. There doesn’t appear to be a significant difference between the mean drying time for paint type A and the mean drying time for paint type B. The modification does not seem to be effective in reducing drying times.

b. The confidence interval includes only negative values, which suggests that the mean drying time for paint type A is smaller than the mean drying time for paint type B. The modification does not seem to be effective in reducing drying times.

c. The confidence interval includes 0 which suggests that the mean drnetwork security assignment-900 words,Information Systems,,

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