Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1 = 861 n2 = 867 381 x2 = 285 %3D S1 = 150 S2 = 180 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05. Tnt = I1 :0H

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Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume
all populations are approximately normally distributed.
Sample 1
Sample 2
n1
861
n2
867
381
285
S1
150
S2
= 180
Test the claim:
Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05.
Ho: 41
= U2
Ha: H1 < U2
a. Given the alternative hypothesis, the test is
Select an answer
b. Determine the test statistic. Round to four decimal places.
t
c. Find the p-value. Round to 4 decimals.
p-value =
d. Make a decision.
Fail to reject the null hypothesis.
Reject the null hypothesis.
Transcribed Image Text:Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1 861 n2 867 381 285 S1 150 S2 = 180 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05. Ho: 41 = U2 Ha: H1 < U2 a. Given the alternative hypothesis, the test is Select an answer b. Determine the test statistic. Round to four decimal places. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. Fail to reject the null hypothesis. Reject the null hypothesis.
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