Choose a variable that will enable you to compare proportions of two groups. For

Question

Choose a variable that will enable you to compare proportions of two groups. For example, you might want to see if the proportion of students who buy used books is lower than (or higher than or the same as) the proportion of sophomores who buy used books. After collecting 30 or more responses from the two groups, complete the following: (see textbook chapter 9, section 9-4) a write a brief statement of the purpose of the study. b. Define the population. c, State the hypotheses for the study. d Select an a value (level of significance) e. State how the sample was selected. f. Show the raw data. g. Decide which statistical test is appropriate and compute the test statistic (z or t). Why is the test appropriate? h. Find the critical value(s) i. State the decision. j. Summarize the results.

Explanation / Answer

a) Purpose of study : to test whether there is difference between proportion of first year students who buy used books is lower than the porportion of sophomores who buy used books.

b) Students of first year and second year

c) Null Hypothesis H0: P1 = P2, there is no diifference between the porportion of first year students who buys used books and the sophomores students

Alternative Hypothesis H1: P1<P2, the porportion of first year students who buys used books is lower than the proportion of sophomores students

d) alpha = 0.05

e) Sample should be randomly collected.

g) z test is approppriate , i.e. z test for difference of proportion

h) Z critical z = 1.645

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