The National Center for Health Statistics released 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 a state-by-state basis.
a. State the null and alternative hypotheses assuming 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, determine whether the percentage of adults who do not exercise regularly in these states differs from the 70% reported by the National Center for Health Statistics.
H0: p =
Ha: p =
b. California sample: 189 of 300 adults did not exercise regularly. What is the value of ?p? ¯ in California (to 3 decimals)?
c. What is the p-value (to 3 decimals)?