Suppose that every quarter, Netflix assesses which of their TV shows/movies perform the 'best' in certain demographics. They do so by conducting random polls of their viewers to determine whether people are enjoying particular shows/movies. This information will help them modify their algorithm to better target and promote similar material based on those demographic characteristics. They probably learn all of this just by their own internal data tracking mechanisms, but let's pretend that they ask via a survey for the purposes of this question.

In a random poll of 1,009 teenagers, 435 reported liking the show 'TV gauntlet island', whereas in a random poll of 1,214 older adults, 601 reported liking that show. We want to assess whether these ratings are different between teenagers and older adults. I.E., the null and alternative hypotheses are: H0: p1 = p2 Ha: p1 p2 a. Calculate the test statistic, and p-value associated with that statistic. b. Do you conclude that these two groups significantly differ from each other in their overall 'liking' of the show?