Question

84. A poll done for Newsweek found that 13% 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 seen or sensed the presence of an angel. As a result of the contingent’s survey, would you agree with the Newsweek poll? In complete sentences, also give three reasons why the two polls might give different results.

Answer 1

Critical value z_{0.05}=-1.645

Decision Rule, Reject H if z< -1.645

We do not reject the null hypothesis.

What is the Decision?

Generally, the equation for the hypothesis  is  mathematically given as

H P=0.3

H2:P<0.13

Therefore

$z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\z=\frac{0.11-0.13 }{\sqrt{\frac{0.13(1-0.13)}{76}}}$

z=-0.52

In conclusion, from the table

Critical value z_{0.05}=-1.645

Decision Rule, Reject H if z< -1.645

In conclusion, we do not reject the null hypothesis.

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