A business school has found that over the years, out of all the students who are offered admission, the proportions who accept is 0.70. After a new director of admissions is hired, the university wants to check if the proportion of students accepting has changed significantly. Suppose they offer admission to 1200 students and 888 accept. Is this evidence of a change from the status quo?
a) Write the null and alternative hypotheses
b) Let's perform a one sample z test for proportions. What is the value of the test statistic?
c) What is the associated P-value?
d) State your conclusion using x=0.05