Question

Researchers in a populous country contacted more than​ 25,000 inhabitants aged 20 years to see if they had finished high​ school; 85.5% of the 12,770 males and 83.5​% of the 12, 694 females indicated that they had high school diplomas.

​a) What assumptions are necessary to satisfy the conditions necessary for​ inference?

​b) Create a 90​% confidence interval for the difference in graduation rates between males and​ females, p_males - p_females. Round to three decimal places.

​c) Interpret your confidence interval.

​d) Is there evidence that boys are more likely than girls to complete high​ school?

Answer 1

a) all the assumptions were satisfied.

Since , it was a random sample, less than 10% of the population was sampled , the two groups were

independent and there were more than 10 successes and failures in each group.