An official of a large national union claims that the fraction of women in the union...

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An official of a large national union claims that the fraction of women in the union...

An official of a large national union claims that the fraction of women in the union is not significantly different from 58%. To test this claim, a random sample of 400 individuals in the union is taken. Of those 400, 215 are women.

State the null and alternative hypotheses.

	a.	H0 :p ≤ 0.58 and H1 :p > 0.58
	b.	H0 :p = 0.58 and H1 :p ≠ 0.58
	c.	H0 :p < 0.58 and H1 : p ≥ 0.58
	d.	H0 :p ≥ 0.58 and H1 : p < 0.58

An official of a large national union claims that the fraction of women in the union is not significantly different from 58%. To test this claim, a random sample of 400 individuals in the union is taken. Of those 400, 215 are women.

Use the p-value to conduct the hypothesis test and use α = 0.05 level of significance.

a.
p-value = 0.0446 < 0.05; Fail to reject H0

b.
p-value = 0.0446 < 0.05; Reject H0

c.
p-value = 0.4714 > 0.05; Fail to reject H0

d.
p-value = 0.4714 > 0.05; Reject H0

math Statistics-And-Probability

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Answer 1

Answer #1

If p-value <a then we reject Ho Given x = 0.05 Here, p-value = 0.0854 > 0.05 = x So, we fail to reject Ho

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Answer 2

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