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A Catholic Priest Believes That a Higher Proportion of Women

Question 118

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A Catholic priest believes that a higher proportion of women in his congregation regularly attend services than the men in his congregation. He randomly selects 100 men and 100 women from his congregation and finds that 32 men and 48 women regularly attend.
A) Specify the competing hypotheses to test the priest's claim.
B) Calculate the value of the relevant test statistic.
C) Compute the p-value. Does the evidence support the priest's claim at the 1% significance level?

Correct Answer:

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a. H0: p1 − p2 ≤ 0, HA: p1 − p2 > 0
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