(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 0.05, what is your hypothesis testing conclusion?

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You may need to use the appropriate appendix table or technology to answer this question.
Consider the hypothesis test.
Ho: P₁ P₂50
H: P1 P₂
The following results are for independent samples taken from the two populations.
Sample 1
Sample 2
7₂-300
P₁0.22 P₂ -0.14
(a) Calculate the test statistic. (Round your answer to two decimal places.)
- 200
"₁"
What is the p-value? (Round your answer to four decimal places.)
p-value=
(b) With = 0.05, what is your hypothesis testing conclusion?
Reject Ho. There is insufficient evidence to conclude that p₁ - P₂ > 0.
O Do not reject Ho. There is insufficient evidence to conclude that p₁ - P₂ > 0.
O Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0.
O Do not Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Consider the hypothesis test. Ho: P₁ P₂50 H: P1 P₂ The following results are for independent samples taken from the two populations. Sample 1 Sample 2 7₂-300 P₁0.22 P₂ -0.14 (a) Calculate the test statistic. (Round your answer to two decimal places.) - 200 "₁" What is the p-value? (Round your answer to four decimal places.) p-value= (b) With = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that p₁ - P₂ > 0. O Do not reject Ho. There is insufficient evidence to conclude that p₁ - P₂ > 0. O Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0. O Do not Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0.
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