Of 85 randomly selected women, 38 have tried some form of alternative medicine. Of 90 randomly selected men, 23 have tried some form of alternative medicine. At the 10% significance level, do the data provide sufficient evidence to conclude that women are more likely than men to try alternative forms of medicine?

Suppose a poll is taken that shows that 281 out of 500 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.05.

USA Today (Feb. 17, 2011) described a survey of 1,008 American adults. One question on the survey asked people if they had ever sent a love letter using e-mail. Suppose that this survey used a random sample of adults and 205 stated that they had written a love letter using e-mail. Is this evidence that more than 20% of American adults have written a love letter using e-mail? Use a level of significance of 5%. a) p: (3 decimal places) b) Complete the following areas. Label the critical value and test statistic on the curve and shade the rejection region(s). Họ: Hi: Type of Test: Test Statistic: (2 decimal places) Critical Value(s): (2 decimal places) P-Value: (4 decimal places) Reject or Fail to Reject:

A random sample of 851 births included 431 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies are boys. Do the results support the belief that 51.5​% of newborn babies are​ boys?