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A doctor claims that 20% of people in the United States are overweight. A university believes the true proportion to be much higher. They take a simple random sample of 100 Americans and find that 31 of them are overweight. The university team decides to conduct a z-test for proportion on the data with significance level 5%.
State the null and alternative hypotheses for this test.
Find the p-value for this test.
State the outcome of the test.
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