Given the sample data below, test the claim that the proportion of female voters who plan to vote Republican at the next presidential election is less than the percentage of male voters who plan to vote Republican. Use the traditional method of hypothesis testing and use a significance level of 0.05. Men: n1 = 250, x1 = 146, p1(carat)=.584 Women: n2 = 309, x2 = 103, p2(carat) = .333 3) a. Write the null and alternative hypotheses to test this claim. b. What is the value of the test statistic? Show you work. c. What is the associated P-value? d. State your conclusion and explain in context using ΅ = 0.05.
To test the null hypothesis that the difference between two population proportions is equal
use StatCrunch or the formula
z =(p1 (carat) - p2 (Carat) /
(Sq root) p1 (carat) (1 - p1 (carat)/n1 + p2(carat) (1 - p2(carat))/n2
As long as n1 and n2 are both large, the sampling distribution of the test statistic z will be
approximately the standard
Men: n1 = 250, x1 = 146, p1(carat)=.584
Women: n2 = 309, x2 = 103, p2(carat) = .333 3)
a. Write the null and alternative hypotheses to test this claim.
b. What is the value of the test statistic? Show you work.
c. What is the associated P-value?
d. State your conclusion and explain in context using ΅ = 0.05.
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