The National Center for Health Statistics released the report that stated 70% of adults don't exercise regularly (Associated Press, April 7, 2002). A researcher decided to conduct the study to see whether the National Center for Health Statistics' claim differed on state-by-state basis.
a. Describe the null and alternative hypotheses supposing the intent of the researcher is to determine states that differ from the 70% reported by the National Center for Health Statistics. Using sample results from Wisconsin and California, find out whether the percentage of adults who don't exercise regularly in these states differs from the 70% reported by the National Center for Health Statistics.
H0: p =
Ha: p =
b. Wisconsin sample: 252 of 350 adults didn't exercise regularly. Determine the value of ?p? ¯ in Wisconsin (to 3 decimals)?
c. What is the p-value?
d. California sample: 189 of 300 adults didn't exercise regularly. Determine the value of ?p? ¯ in California (to 3 decimals)?
e. Compute the p-value (to 3 decimals)?