(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) State your conclusion in the context of the application. Fail to reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves in winter is higher. Fail to reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves in winter is higher. Reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves in winter is higher. O Reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves in winter is higher.

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Chapter1: Starting With Matlab
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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 northern Europe are shown below.
Location of Wolf Pack
% Males (Winter)
% Males (Summer)
Finland
88
57
Finland
62
59
Finland
70
69
Lapland
Lapland
Russia
55
48
64
55
50
50
Russia
41
50
Russia
55
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 d = winter - summer.)
Transcribed Image Text: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 northern Europe are shown below. Location of Wolf Pack % Males (Winter) % Males (Summer) Finland 88 57 Finland 62 59 Finland 70 69 Lapland Lapland Russia 55 48 64 55 50 50 Russia 41 50 Russia 55 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 d = winter - summer.)
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) State your conclusion in the context of the application.
Fail to reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves in winter is higher.
O Fail to reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves in winter is higher.
O Reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves in winter is higher.
O Reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves in winter is higher.
Transcribed Image Text:(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) State your conclusion in the context of the application. Fail to reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves in winter is higher. O Fail to reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves in winter is higher. O Reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves in winter is higher. O Reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves in winter is higher.
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