Large Sample Proportion Problem. Surveys were conducted in multiple countries an

Question

Large Sample Proportion Problem. Surveys were conducted in multiple countries and 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? 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 Next

Explanation / Answer

Since the hypothetcal value i.e. P = 0.5 lies within the 99% Confidence Interval we fail to reject the null hypothesis .

Answer: I would fail to reject the null hypothesis that P = 0.5

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