Qualifications of male and female head and assistant college athletic coaches were compared in an article. Each person in random samples of 2224 male coaches and 1147 female coaches was classified according to number of years of coaching experience to obtain the accompanying two-way table. Is there enough evidence to conclude that the proportions falling into the experience categories are different for men and women? Use ? = 0.01. Years of Experience Gender 1–3 4–6 7–9 10–12 13+ Male 199 372 484 361 808 Female 232 250 240 160 265 State the appropriate hypotheses. H0: p1j ≠ p2j j = 1, 2, 3, 4, 5 Ha: at least one p1j = p2j H0: p1j = p2j j = 1, 2, 3, 4, 5 Ha: no p1j = p2j H0: p1j = p2j j = 1, 2, 3, 4, 5 Ha: at least one p1j ≠ p2j H0: p1j ≠ p2j j = 1, 2, 3, 4, 5 Ha: all p1j = p2j Calculate the test statistic. (Round your answer to two decimal places.) ?2 = What can be said about the P-value for the test? P-value < 0.0050.005 < P-value < 0.01 0.01 < P-value < 0.0250.025 < P-value < 0.050.05 < P-value < 0.10P-value > 0.10 State the conclusion in the problem context. Reject H0. There is no evidence that the proportions of male and female coaches falling into these experience categories are very similar.Fail to reject H0. There is evidence that the proportions of male and female coaches falling into these experience categories are very similar. Fail to reject H0. There is no evidence that the proportions of male and female coaches falling into these experience categories are very different.Reject H0. There is evidence that the proportions of male and female coaches falling into these experience categories are very different.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Qualifications of male and female head and assistant college athletic coaches were compared in an article. Each person in random samples of 2224 male coaches and 1147 female coaches was classified according to number of years of coaching experience to obtain the accompanying two-way table. Is there enough evidence to conclude that the proportions falling into the experience categories are different for men and women? Use ? = 0.01.

Gender	1–3	4–6	7–9	10–12	13+
	Years of Experience
Male	199	372	484	361	808
Female	232	250	240	160	265

State the appropriate hypotheses.

H₀: p_1j ≠ p_2j j = 1, 2, 3, 4, 5

H_a: at least one p_1j = p_2j

H₀: p_1j = p_2j j = 1, 2, 3, 4, 5

H_a: no p_1j = p_2j

H₀: p_1j = p_2j j = 1, 2, 3, 4, 5

H_a: at least one p_1j ≠ p_2j

H₀: p_1j ≠ p_2j j = 1, 2, 3, 4, 5

H_a: all p_1j = p_2j

Calculate the test statistic. (Round your answer to two decimal places.)
?² =

What can be said about the P-value for the test?

P-value < 0.0050.005 < P-value < 0.01 0.01 < P-value < 0.0250.025 < P-value < 0.050.05 < P-value < 0.10P-value > 0.10

State the conclusion in the problem context.

Reject H₀. There is no evidence that the proportions of male and female coaches falling into these experience categories are very similar.Fail to reject H₀. There is evidence that the proportions of male and female coaches falling into these experience categories are very similar. Fail to reject H₀. There is no evidence that the proportions of male and female coaches falling into these experience categories are very different.Reject H₀. There is evidence that the proportions of male and female coaches falling into these experience categories are very different.

You may need to use the appropriate table in the Appendix of Tables to answer this question.

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