Question

The Centers for Disease Control (CDC) would like to test the hypothesis that the proportion of obese adults in the U.S. has increased this year when compared to last year. A random sample of 120 adults this year found that 9 were obese. Last year, a random sample of 150 adults found that 15 were obese.

If Population 1 is defined as this year and Population 2 is defined as last year.

a) Define the null hypothesis and alternative hypothesis.

b) Define the test statistic and calculate its value.

c) Using ? = 0.05, find the critical value for this hypothesis test.

d) Interpret the result and make your conclusion.

e) Find p-value and discuss based on the p-value.

f) Construct a 90% appropriate confidence bound for the difference in population

proportions and interpret the result accordingly.

Answer 1