Concept explainers
Religion important in your life? Americans ages 18 to 29 are considered to be less religious than older Americans. According to recent studies by the Pew Forum on Religion & Public Life, fewer young adults are affiliated with a specific religion than older people today. And, compared with their elders, fewer young people say that religion is very important in their lives. Yet, many young people still believe in traditional religious concepts and practices. Pew Research Center surveys show, for example, that “young adults’ beliefs about life after death and the existence of heaven, hell and miracles closely resemble the beliefs of older people today.” According to GSS (General Social Survey) results from a random sample of 1,679 subjects, 45% in the 18–29 age group pray daily whereas 55% pray less often.5 The MINITAB output shows the results for a significance test for which the alternative hypothesis is that the percentage of 18–29-year-olds who pray daily differs from 50%. State and interpret the five steps of a significance test in this context, using information shown in the output to provide the particular values for the hypothesis, test statistic, and P-value.
Test and CI for One Proportion
Test of p = 0.5 vs p ≠ 0.5
Using the normal approximation.
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Statistics: The Art and Science of Learning from Data (4th Edition)
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