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De more than 50% of US adults feel they penough sleep? According to Gallupsfestyle pill. 507 US adataid that that they -0.01
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Answer #1

The following information is provided: The sample size is N = 1012 , the number of favorable cases is X = 547 , and the sample proportion is \bar p = \frac{X}{N} = \frac{ 547}{ 1012} = 0.5405

This corresponds to a right-tailed test, for which a z-test for one population proportion needs to be used.

Test Statistics

The z-statistic is computed as follows:

z = \frac{\bar p - p_0}{\sqrt{p_0(1-p_0)/n}} = \frac{ 0.5405 - 0.5 }{\sqrt{ 0.5(1- 0.5)/1012}} = 2.578

The p-value is p = 0.005

B) p = 0.005

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