2. (Exact Test for Proportion). A housing advisor believes that less than 1 in 4 (or 25%) of university students in Vancouver live with their parents. In random sample of 15 university students from...

Plz explain a, b, c

Extracted text: 2. (Exact Test for Proportion). A housing advisor believes that less than 1 in 4 (or 25%) of university students in Vancouver live with their parents. In random sample of 15 university students from Vancouver, 5 say they live with their parents. We want to test whether we can support the advisor's claim based on these data. a. Let the parameter of interest be p proportion of students who live with their parents. State Ho and Ha in terms of p. b. Let X = the number of students who live with their parents in a random sample of 15. (So in our sample the test statistic is X = 5). If Ho is correct, what is the distribution of X? c. Calculate the p-value of the test