Question

In a sample of 200 male students, 130 said they exercise regularly. In a sample of 300 female students, 180 said they exercise regularly. Test the claim that male students exercise more regularly than female students, at the alpha = 0.05 significance level.

Let the population of men be labeled M and the population of women be labeled W.

П, -М = proportion of male that exercise Ilw = proportion of female students that exercise

Hypothesis Test:   Ho : П, -М = IlwH1: П, -М > Ilw

Information: Test Statistic: Z = 1.728 p-value = 0.123

A. Use the p-value approach to complete the hypothesis test.

B. What are your decision and conclusion in words?

П, -М
Ilw
Ho

Ilw
H1

Ilw
0 0
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Answer #1

Here the p value is greater than alpha so here we will accept the null hypothesis that is proportion of male equals to proportion of female

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