# Hypothesis test: difference between proportions, t test

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1. A political poll immediately prior to a state election reveals that 145 out of 250male voters and 105 out of 200 female voters intend to vote for the Independent candidate. Can we infer at the 5% significance level that the proportions of male and female voters who intend to vote for the Independent candidate differ?

2. Advertisements by Pantai physical fitness center claim that completing their course will result in losing weight. A random sample of 8 recent students showed the following body weights before entering the course and after completing the course.

Name Before After

Henry 155 154

Chew 228 207

Merine 141 147

Massa 162 157

Cyndy 211 196

Philip 164 150

Reddy 164 150

Peggy 172 165

At the 0.01 significance level, can we conclude that the students lost weight?

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Answers questions on two tailed test for difference between proportions, t test for dependent samples.

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