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The General Social Survey recently asked 1,294 randomly selected Americans whether they performed any volunteer work during the past year. A total of 617 people said they did. A sociologist states that half of all Americans perform volunteer work in a given year. Test the hypothesis that less than half of all Americans perform volunteer work. Use a significance level of 5%.
(a) State the null and alternative hypotheses
(b) Check the assumptions
(c) Give the test statistic
(d) Give the P-value and the conclusion reached about the null hypothesis based on the P-value
(e) Summarize the final conclusion in the context of the claim
(f) Construct the corresponding confidence interval if this were a 2-sided test
(g) Find the margin of error for confidence interval above
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