Question

The government of Preon (a small island nation) was voted in at the last election with 56% of the votes. That was 2 years ago, and ever since then the government has assumed that their approval rating has been the same. Some recent events have affected public opinion and the government suspects that their approval rating might have changed. They decide to run a hypothesis test for the proportion of people who would still vote for them. The null and alternative hypotheses are: Ho: p = 0.56 H: P = 0.56 The level of significance used in the test is a = 0.1. A random sample of 101 people are asked whether or not they would still vote for the government. The proportion of people that would is equal to 0.624. a) Calculate the test statistic (2) for this hypothesis test. Give your answer to 3 decimal places. z = b) According to this test statistic, you should the null hypothesis.

Answer 1

To test the hypothesis we need to s steps: tellows Aim: To test the hypothesis Ho: p=0.56 & Hi: p +0.56. procedure & calculation: To conduct the we perborn tworteiled x-test. Hence the test statistic is 2= PP NNCol), under ence WA Vn Null Hypothesis we calculate it. T = 6.624 n = 101 calculation: z = 0.624 - 0.56 0.56 1-0.56) 10.1 = 1.295. Decision, we would like to reject Ho ib. 121 7. Zale.

Result & conclusion: Zale = 20,05 = 1.645 And a cal = 1.295. so, 1.295 K 11645. subbicient evidence we conclude that to reject Ho, we there is no accept Ho.
check the calculations.