Question

several years ago, 40% of parents with children in grades k - 12 were satisfied with the quality of education the students receive. a recent poll found that 453 of 1,145 parents with children in grades k - 12 were satisfied with the quality of education the students receive. construct a 95% confidence interval to assess whether this represents evidence that parents attitudes toward the quality of education have changed.
click the icon to view the confidence interval critical value table.
what are the null and alternative hypotheses?
$h_0$: $p$ versus $h_1$: $p$
(type integers or decimals. do not round)

Explanation:

Step1: Understand the null hypothesis concept

The null hypothesis \(H_0\) is a statement of no - change. Here, the historical proportion is \(p = 0.4\). So \(H_0:p=0.4\)

Step2: Understand the alternative hypothesis concept

The alternative hypothesis \(H_1\) is a statement that contradicts the null hypothesis. Since we are checking if the parents' attitudes have changed (a two - tailed test), \(H_1:p
eq0.4\)

Answer:

\(H_0:p = 0.4\) versus \(H_1:p
eq0.4\)