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A researcher is interested in testing the claim that more than 75% of the adults believe in global warming. She conducted a survey on a random...

15. A researcher is interested in testing the claim that more than 75% of the adults believe in global warming. She conducted a survey on a random sample of 500 adults. The survey showed that 400 adults in the sample believe in global warming.

Assume the researcher wants to use a 0.05 significance level to test the claim.

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that more than 75% of adults believe in global warming? Explain.

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