Statistics

Do more than 50% of US adults get enough sleep? According to the Gallup organization's December 2004 Lifestyle Poll, 55% of US adults said that they get enough sleep. The poll was based on a random sample of 1003 adults. Test an appropriate hypothesis and state your conclusion in the context of the problem.

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1. Null hypothesis:
Ho: p = .50 -->meaning: population proportion is equal to .50
Alternative hypothesis:
Ha: p > .50 -->meaning: population proportion is greater than .50

Using a formula for a binomial proportion one-sample z-test with your data included, we have:
z = (.55 - .50)/√(.50)(.50)/1003

Once you have the test statistic, you can go from there to draw your conclusions.

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