Question

identify the test statistic.
z = 1.18
(round to two decimal places as needed.)
identify the p - value.
p - value = 0.238
(round to three decimal places as needed.)
what is the conclusion based on the hypothesis test?
the p - value is greater than the significance level of α = 0.01, so fail to reject the null hypothesis. there is not sufficient evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
b. test the claim by constructing an appropriate confidence interval.
the 99% confidence interval is - 0.028 < (p₁ - p₂) < 0.076
(round to three decimal places as needed.)
what is the conclusion based on the confidence interval?
because the confidence interval limits 0, there appear to be a significant difference between the two proportions. there evidence to warrant rejection of the claim that men and women have equal success in challenging calls.

Explanation:

For part b, the 99% confidence interval for \((p_1 - p_2)\) is \(-0.028 < (p_1 - p_2) < 0.076\). Since the interval contains 0, we fail to reject the null hypothesis (that \(p_1 = p_2\), meaning men and women have equal success in challenging calls). So the first blank is "contain" (because the interval includes 0) and the second blank is "is not sufficient" (as 0 being in the interval shows no significant difference, so no sufficient evidence to reject the claim of equal success).

Answer:

contain; is not sufficient