A random sample of n = 1,000 observations from a binomial population contained 378 successes. You wish to show that p < 0.4. n = 1,000 and x = 378. You wish to show that p < 0.4. n USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) z = Calculate the p-value. (Round your answer to four decimal places.) p-value = Do the conclusions based on a fixed rejection region of z < -1.645 agree with those found using the p-value approach at a = 0.05? O Yes, both approaches produce the same conclusion. O No, the p-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis. O No, the fixed rejection region approach rejects the null hypothesis when the p-value approach fails to reject the null hypothesis. Should they? O Yes

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A random sample of n = 1,000 observations from a binomial population contained 378 successes. You wish to show that p < 0.4.
n = 1,000 and x = 378. You wish to show that p < 0.4.
n USE SALT
Calculate the appropriate test statistic. (Round your answer to two decimal places.)
z =
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
Do the conclusions based on a fixed rejection region of z< -1.645 agree with those found using the p-value approach at a = 0.05?
O Yes, both approaches produce the same conclusion.
No, the p-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis.
O No, the fixed rejection region approach rejects the null hypothesis when the p-value approach fails to reject the null hypothesis.
Should they?
O Yes
O No
You may need to use the appropriate appendix table to answer this question.
Transcribed Image Text:A random sample of n = 1,000 observations from a binomial population contained 378 successes. You wish to show that p < 0.4. n = 1,000 and x = 378. You wish to show that p < 0.4. n USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) z = Calculate the p-value. (Round your answer to four decimal places.) p-value = Do the conclusions based on a fixed rejection region of z< -1.645 agree with those found using the p-value approach at a = 0.05? O Yes, both approaches produce the same conclusion. No, the p-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis. O No, the fixed rejection region approach rejects the null hypothesis when the p-value approach fails to reject the null hypothesis. Should they? O Yes O No You may need to use the appropriate appendix table to answer this question.
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