In 1987, Indonesia did a national survey to study the use of contraceptives. They sampled married women who were not pregnant. Below is the table of the data collected.

Education Level \ Contraceptive Use

No

Yes

Total

low

279

207

486

high

350

637

987

Total

629

844

1473

1. Obtain the 95% confidence interval for the proportion of married Indonesian women with a low level of education that use contraceptive methods.
2. What are the required assumptions/conditions to construct the confidence interval in part (a)?
3. Provide an interpretation for the confidence interval.
4. If the Indonesian Government wanted to conduct a similar survey this year, but this time they want the sample proportion of married Indonesian women with a low level of education that use contraceptive methods to be within 1% of the true proportion, what sample size would you recommend?
5. The press, at the time, claimed that the majority of women in Indonesia used contraceptives, no matter the education level. In other words, the press was claiming that the majority of both, lowly and highly educated Indonesian women, were using contraceptives. Are you able to reject the press' claim with 99% confidence?
6. Identify the population of interest.
7. State the null and alternative hypotheses (in words).
8. State the Type I and II errors in the context of the question.
9. List and check any required assumptions/conditions to conduct the hypothesis test.
10. Compute the test statistic.
11. Obtain the p-value and state your conclusion in the context of the question. Provide a sketch of your model, shade and label the relevant areas.
12. Based on your conclusion in the previous item, what error are you in a position of committing?