1. Suppose 217 subjects are treated with a drug that is used to treat pain and 53 of them developed nausea. Use a 0.01 significance level to test the claim that more than 20% of users develop nausea.

a. Identify the test statistic for this hypothesis test.

b. Identify the P-Value for this hypothesis test.

2. A random sample of 834 births included 433 boys. Use a 0.05 significance level to test the claim that 50.9% of newborn babies are boys. Do the results support the belief that 50.9% of newborn babies are boys?

a. Identify the test statistic for this hypothesis test.

b. The P-value for this hypothesis test is.

3. Trials in an experiment with a polygraph include 97 results that include 22 cases of wrong results and 75 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

a. The test statistic is z=

b. The P-Value is

4. Consider a sample of 49 football games, where 27 of them were won by the home team. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one-half..

a. Identify the test statistic for this hypothesis.

b. Identify the P-Value for this hypothesis test is.