Grossmont College Module 18 Interpretation of the P-value
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Interpret the P-value in context.
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Prompt
The Pew Research Center reported in 2018 that 68% of U.S. adults rated “reducing health care costs” as a national priority. This year a survey is conducted with a national sample of 1,505 U.S. adults selected by a combination of landline and cell phone random digit dials. This year’s survey finds that 70% of the sample says that “reducing health care costs” is a national priority.
We test the following hypotheses:
?0: The proportion of U.S. adults this year who rate “reducing health care costs” as a national priority is still 0.68.
??: The proportion of U.S. adults this year who rate “reducing health care costs” as a national priority is greater than 0.68.
The P-value is 0.045. At a 5% significance level, we would reject the null hypothesis and conclude that the proportion of U.S. adults this year who rate “reducing health care costs” as a national priority is greater than 0.68.
Explain the P-value in the context of this issue.
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