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Explain what is wrong with each of the following: (a) You can use a significance

ID: 3227120 • Letter: E

Question

Explain what is wrong with each of the following: (a) You can use a significance test to evaluate the hypothesis H_0: p = 0.3 versus H_a: p > 0.3. (b) The significance test for a population proportion is based on a t statistic. (c) The margin of error for a confidence interval used for an opinion poll takes into account the fact that many people who did not answer the poll questions may have had different responses from those who did not answer the questions. (d) If the p - value for a significance test is 0.50, we can conclude that the null hypothesis has a 50% chance of being true.

Explanation / Answer

Part-a

In null and alternative hypothesis the sample statistics phat is taken instead of population parameter p

PArt-b

Signficance test is based on z-statistic rather than t

Part-c

Margin of error depends only on sample size and proprotion under null hypothesis

PArt-d

We do not reject the null hypothesis but we can not say it to be true

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