Question

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. In environmental studies, sex ratios are of great importance. Wolf society, packs, and ecology have been studied extensively at different locations in the U.S. and foreign countries. Sex ratios for eight study sites in northem Europe are shown below Location of wolf Pack Finland Finland Finland Lapland Lapland Russia Russia % Males (winter) 86 % Males (Summer) 45 49 69 48 64 64 50 41 50 50 45 It is hypothesized that in winter, "loner" males (not present in summer packs) join the pack to increase survival rate. Use a 5% level of significance to test the claim that the average percentage of males in a wolf pack is higher in winter. (Let dwinter- summer.) (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Mo: μ,-0; Hi·Hy * 0; two-tailed Ho: μ,-0; H1: μος 0; left-tailed Ho : μ,-0; H1 : μσ > 0; right-tailed Ho: μd > 0; H1 : μ,-0; right-tailed (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that d has an approximately normal distribution. The Student's t. We assume that d has an approximately normal distribution The Student's t. We assume that d has an approximately uniform distribution. The standard normal. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.)

Answer 1

a) 5% level of significance.

   H₀: μ_d > 0 ; H₁: μ_d = 0 ; right tailed

b) The standard normal. we assume that d is an approximately normal distribution.

Because that mention in given information.

c) sample test statistic = 1.597