Assignment:
1. In the recent Presidential election, seventy percent of registered voters in New Hampshire participated. You wish to check if UNH students voted at a different rate than the state, so you take a random sample of 200 UNH students who registered to vote. Among the 200, you find 130 actually voted in the Presidential election.
a. State the null and alternative hypotheses needed to attempt to show UNH students voted at a rate different than the rest of the state.
b. Calculate the test statistic.
c. Find the p-value.
d. If the level of significance is set at 0.05, clearly state your conclusion in the context of this exercise.
2. The Department of Economic and Community Development (DECD) reported that, in 2009, the average number of new jobs created per county was 450. The department also provided the following information regarding a sample of 5 counties in 2010. Assume the population is normally distributed.
Country New Jobs Created in 2010
Bradley 410
Rhea 480
Marion 407
Grundy 428
Sequatchie 400
a. Compute the rejection region using α=0.05.
b. Test the hypotheses and make a conclusion in the context of the situation given.