1. A streaming service claims that 73.2% of college students subscribe to at least one paid streaming service. To verify this claim, a university researcher surveys a random sample of 400 college students and finds that 68.5% subscribe to at least one paid streaming service. Conduct a two-sided hypothesis test at the 5% level of significance to test the streaming service's claim.
a. Write out your null and alternative hypotheses using proper notation
b. Check necessary conditions
c. Calculate the test statistic.
d. Conduct a two sided hypothesis test using a p value and $$ \alpha = .05 $$. Report your findings.