Perform a significance test a significance test for which the alternative hypothesis is that the percentage of 18–29-year-olds who pray daily differs from 50%.

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, 756 in the 18–29 age group pray daily (an increase of 5% over the 1990s), while 55% pray less often. .

(a) State the null and alternative hypotheses.

(b) Calculate the test statistic

(c) Calculate the p-value

(d) State the conclusion