in a random sample of 360 women SHORT ANSWER. Write the word or phrase that best

Question

in a random sample of 360 women SHORT ANSWER. Write the word or phrase that best com Identify the null hypothesis and alternative h conclusion about the null hypothesis, and state the final conclusion in nontechnical terms. pletes each statement or answers the question. ypothesis, significance level, test that will be used, P-value, test statistic, 14) In a random sample of 360 women, 234 favored stricter gun control laws. In a random 14) sample of 220 men, 132 favored stricter gun control laws. Test the claim that the proportion of women Tavoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a significance level of 0.05.(6 POINTS

Explanation / Answer

Null hypothesis:

Ho : u1 > u2

Ha : u1 <=u2

u1 = 234/360 = 0.65

s1 = sqrt(0.65 * 0.35/360)

u2 = 132/220 = 0.6

s2 = sqrt(0.6 * 0.4/220)

s = sqrt(s1^2/n1 + s2^2/n2)

= sqrt [ (0.65*0.35/360^2) + (0.6 * 0.4/220^2 )]

= 0.00259

significance level alpha = 0.05

test static z = u1 - u2/s

= 0.65 -0.6/0.00259

= 19.29

critical value : zc = -1.645

rejection region : z < -1.645

p-value = 1

there not enough evidence to reject null hypothesis

hence proportion of women favoured strict gun control is higher than the proportion of men favouring strict gun control

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