Question

Suppose a survey is conducted of UCI college students on how recent increases in tuition are adding to
students' stress levels. Assume 29 of the 50 UCI students surveyed said they have difficulty paying their
tuition each quarter. Let p represent the population proportion of all UCI students who have difficulty
paying their tuition each quarter.
Which are the appropriate hypotheses to assess if a MAJORITY of UCI students are having difficulty
paying their tuition? Test the claim at the = 0.10 level.

(a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret
them in context of the problem)
(b) Draw a picture of the distribution of the test statistic under Ho. Label and provide values for the
critical value and the test statistic, and shade the critical region. (You may want to complete parts
c and d first)
(c) Calculate the test statistic
(d) Calculate the critical value
(e) Make and justify a statistical decision at the = 0.10 level.
(f) State your conclusions in context of the problem.

Answer 1

The problem is about testing of proportion by using the z statistic. The 6 step summary is given in the problem.