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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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