Consider the hypothesis test. Ho: P1 - P2 < 0 Hai P1 - P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n, = 200 n2 = 300 P1 = 0.24 P2 = = 0.16 (a) Calculate the test statistic. (Round your answer to two decimal places.)

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Consider the hypothesis test.
Ho: P1 - P2 < 0
Ha: P1 - P2 > 0
The following results are for independent samples taken from the two populations.
Sample 1
Sample 2
n1
= 200
n2
300
P1
= 0.24
P2
= 0.16
(a) Calculate the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value :
(b) With a =
0.05, what is your hypothesis testing conclusion?
Reject Ho.
There is sufficient evidence to conclude that p, - p2 > 0.
Do not Reject Ho. There is sufficient evidence to conclude that p, - p, > 0.
Do not reject Ho: There is insufficient evidence to conclude that p, - p, > 0.
Reject Ho: There is insufficient evidence to conclude that p, - P2 > 0.
Transcribed Image Text:Consider the hypothesis test. Ho: P1 - P2 < 0 Ha: P1 - P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 200 n2 300 P1 = 0.24 P2 = 0.16 (a) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value : (b) With a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is sufficient evidence to conclude that p, - p2 > 0. Do not Reject Ho. There is sufficient evidence to conclude that p, - p, > 0. Do not reject Ho: There is insufficient evidence to conclude that p, - p, > 0. Reject Ho: There is insufficient evidence to conclude that p, - P2 > 0.
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