In a national poll of 1,706 Americans aged 45 and older conducted in 2004 for the AARP, 1,228 of respondents agreed with the statement, "Adults should be allowed to legally use marijuana for medical purposes if a physician recommends it."37 We want to use software to test if a majority (more than 0.5) of all Americans aged 45 and older support legalization of marijuana for medical purposes.
a. First state H0 and Ha mathematically.
b. Next, report the sample proportion from the test output.
c. Report the standardized sample proportion z.
d. Report the P-value.
e. Does the poll provide convincing evidence that a majority of all Americans aged 45 and older support legalization of marijuana for medical purposes? Explain.