Math  /  Data & Statistics

QuestionIn a survey of 200 females who recently completed high school, 76%76 \% were enrolled in college. In a survey of 150 males who recently completed high school, 68%68 \% were enrolled in college. At α=0.07\alpha=0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state H0\mathrm{H}_{0} and Ha\mathrm{H}_{\mathrm{a}}.
The claim is "the proportion of female college enrollees is \square the proportion of male college enrollees."

Studdy Solution
State the alternative hypothesis (Ha\mathrm{H}_{a}): Ha:p1p2\mathrm{H}_{a}: p_1 \neq p_2
The claim is "the proportion of female college enrollees is equal to the proportion of male college enrollees."
The null hypothesis is H0:p1=p2\mathrm{H}_{0}: p_1 = p_2.
The alternative hypothesis is Ha:p1p2\mathrm{H}_{a}: p_1 \neq p_2.

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