Math  /  Data & Statistics

QuestionUse the following information to complete steps (a) through (d) below. A random sample of n1=125n_{1}=125 individuals results in x1=40x_{1}=40 successes. An independent sample of n2=150n_{2}=150 individuals results in x2=60x_{2}=60 successes Does this represent sufficient evidence to conclude that p1<p2p_{1}<p_{2} at the α=0.05\alpha=0.05 level of significance? c. H0:p1>p2;H1:p1<p2H_{0}: p_{1}>p_{2} ; H_{1}: p_{1}<p_{2} D. H0:p1=p2;H1:p1<p2H_{0}: p_{1}=p_{2} ; H_{1}: p_{1}<p_{2} (c) Use technology to calculate the P -value. 0.085 (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below.
A. There is not sufficient evidence to reject the null hypothesis because the PP-value >α>\alpha.
B. There is sufficient evidence to reject the null hypothesis because the PP-value <α<\alpha. C. There is not sufficient evidence to reject the null hypothesis because the PP-value <α<\alpha. D. There is sufficient evidence to reject the null hypothesis because the PP-value >α>\alpha.

Studdy Solution
Draw a conclusion based on the hypothesis test:
For both parts (c) and (d), since the P-value is greater than α\alpha, we do not have sufficient evidence to reject the null hypothesis.
The correct answer is:
A. There is not sufficient evidence to reject the null hypothesis because the PP-value >α>\alpha.

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