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.
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