A local politician is interested in running office and wants to determine the proportion of people interested in voting for them. In addition after 6 months of campaigning, they want to see if their campaigning has been effective, and more people are interested in voting for them. To accomplish this, they take sample of 150 constituents and ask if they plan on voting for this person. They campaign for 6 months, and then ask the same 150 people if they plan to vote for this person, with the results below:

Before Campaign

Plan to vote for Plan to vote against

Plan to

vote for 30 67

After campaign Plan to 10 43

vote against

With an alpha value of 0.05, is there enough evidence to indicate that the proportion of people planning to vote for this person has changed?

a. What are the two sample proportions? (Round your answer to three decimal places).

Proportion planning to vote for (before campaign):

Proportion planning to vote for (after campaign):

b. Define the null and alternative hypothesis for this test

c. What is the test statistic for thus test? (Round answer to three decimal places)

d. What conclusion can you reach regarding the proportions before and after the campaign? Have they changed?