5. A sample of 500 male registered voters showed that 57% of them are in a favor of higher taxes on wealthy people. Another sample of 400 female registered voters showed that 54% of them are in favor of higher taxes on wealthy people. Test at the 1% significance level if the proportion of all male voters who are in favor of higher taxes on wealthy people is not different from that of female voters against two-sided alternative.

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5. A sample of 500 male registered voters showed that 57% of them are in a favor of
higher taxes on wealthy people. Another sample of 400 female registered voters showed
that 54% of them are in favor of higher taxes on wealthy people. Test at the 1%
significance level if the proportion of all male voters who are in favor of higher taxes on
wealthy people is not different from that of female voters against two-sided alternative.
Transcribed Image Text:5. A sample of 500 male registered voters showed that 57% of them are in a favor of higher taxes on wealthy people. Another sample of 400 female registered voters showed that 54% of them are in favor of higher taxes on wealthy people. Test at the 1% significance level if the proportion of all male voters who are in favor of higher taxes on wealthy people is not different from that of female voters against two-sided alternative.
A company claims that the course it offers significantly increases the writing speed of
secretaries. The following table gives the scores of 8 secretaries before and after they
attended this course
Before x,
2.3
2.8 3.1
2.7
3.4
2.6
2.8 2.5
After y,
2.6
3.2 3.0
3.5
3.7
2.4
2.9
2.9
Test at the 5% significance level if there is an improvement in the job performances of
employees due to hypnosis.
Assume that the population of paired differences is (approximately) normally
distributed.
Transcribed Image Text:A company claims that the course it offers significantly increases the writing speed of secretaries. The following table gives the scores of 8 secretaries before and after they attended this course Before x, 2.3 2.8 3.1 2.7 3.4 2.6 2.8 2.5 After y, 2.6 3.2 3.0 3.5 3.7 2.4 2.9 2.9 Test at the 5% significance level if there is an improvement in the job performances of employees due to hypnosis. Assume that the population of paired differences is (approximately) normally distributed.
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