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Large Sample Proportion Problem.  Surveys were conducted in multiple countries and respondents were asked if they felt...

Large Sample Proportion Problem.  Surveys were conducted in multiple countries and respondents were asked if they felt political news was reported fairly. The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly. Suppose we construct a 99% confidence interval and the upper and lower bounds are .4293 to .5107.

What can I conclude about a two-tailed hypothesis test where Ho: P=.5 and alpha is .01?

Group of answer choices

I don’t have enough information to make a conclusion.

I would be able to reject the Null Hypothesis that P=.5, but only for a one-tailed test.

I would be able to reject the Null Hypothesis that P = .5

I would fail to reject the Null Hypothesis that P = .5

Math   Statistics-And-Probability   
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Answer #1

Since , the 99% confidence interval estimate for the population proportion is ( 0.4293 , 0.5107 )

Here , The hypothesis is given by ,

Hypothesis : VS  

Rejection rule : If the value does not lies in the given confidence interval , then reject Ho ,accept otherwise.

Decision : Here , the value lies in the given 99% confidence interval

Therefore , fail to reject the Null hypothesis that

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