Question

A journalist in Italy wants to challenge a claim that 5% of the registered voters in his country are Socialists; he thinks the percentage is lower than that. In a test of hypothesis, H0: p = 0.05 vs. H1: p < 0.05, his random sample of size 1,000 registered voters revealed that the number of Socialists was 40

. 1. Test the hypotheses at the 5% significance level.

2. Compute the p-value and explain how to use it to test the hypotheses.

3. Construct a 95% confidence interval estimate of the population proportion and explain how to use it to test the hypotheses.

Answer 1