Question

Several years​ ago, 37​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,065 parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the 1,065 ​surveyed, 472 indicated that they were satisfied. Construct a 99 99​% confidence interval to assess whether this represents evidence that​ parents' attitudes toward the quality of education have changed. What are the null and alternative​ hypotheses? Upper H 0 H0​: p equals = 0.37 0.37 versus Upper H 1 H1​: p not equals ≠ 0.37 ​(Round to two decimal places as​ needed.) Use technology to find the 99 99​% confidence interval. The lower bound is ?. The upper bound is ?.

Answer 1

Here

sample proportion

and sample size

a 99% confidence interval to the people who were satisfied with the quality of education the students receive

The null hypothesis is

The alternative hypothesis is

Since confidence interval does not include 0.37, so we reject null hypothesis at 99% confidence level or at 1% significance level.