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**1.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 z test statistic for the hypothesis test.**A report on the nightly news broadcast stated that 10 out of 129 households with pet dogs were burglarized and 23 out of 197 without pet dogs were burglarize

2.Consider the set of differences between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Round to the nearest tenth

3.**Construct the indicated confidence interval for the difference between population proportions ** **Assume that the samples are independent and that they have been randomly selected.**In a random sample of 300 women, 45% favored stricter gun control legislation. In a random sample of 200 men, 25% favored stricter gun control legislation. Construct a 98% confidence interval for the difference between the population proportions p1 - p2

4.**Construct a confidence interval for μd, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed.**Using the sample paired data below, construct a 90% confidence interval for the population mean of all differences x - y.

X 5.0 5.1 4.6 3.5 6.0

Y 4.7 3.9 4.2 4.2 3.7

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