A poll done for Newsweek found that 17% of Americans have seen or sensed the pre

Question

A poll done for Newsweek found that 17% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seern or sensed the presence of an angel. Is the contingent testing a mean or a proportion? mean proportion The alternate hypothesis, in symbols, is p' Suppose the contingent rejects the claim based on their survey. What type of error could they be making? Type I Type II · > >

Explanation / Answer

Answer to the question is as follows:

- The contigent is testing a proportion. The proportion it is testing is the %age of American that have seen/sensed the presence of an angel

- The alternate hypothesis D <=.17. The claim being tested goes into the alternative hypothesis. Claim is mentioned in the question as 'Contingent doubts its that high'

- So, the error that occurs when one accepts a null hypothesis that is actually false. The error rejects the alternative hypothesis, even though it does not occur due to chance. A type II error fails to reject, or accepts, the null hypothesis, although the alternative hypothesis is the true state of nature

Hence, we would be making a TYPE II error in this case.

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