Concept explainers
Alternative Formula In Exercises 19 and 20, use the information below. When you know the number of successes x, the sample size n, and the population proportion p, it can be easier to use the formula
to find the standardized test statistic when using a z-test for a population proportion p.
19. Rework Exercise 7 using the alternative formula and verify that the results are the same.
Hypothesis Testing Using Rejection Regions In Exercises 7–12, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region (s), (c) find the standardized test statistic z, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
7. Vaccination Requirement A medical researcher says that less than 80% of U.S. adults think that healthy children should be required to be vaccinated. In a random sample of 200 U.S. adults. 82% think that healthy children should be required to be vaccinated. At α = 0.05, is there enough evidence to support the researcher’s claim? (Adapted from Pew Research Center)
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Elementary Statistics: Picturing the World (7th Edition)
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