Several years ago, $42\%$ of parents who had children in grades K$-12$ were satisfied with the quality of education the students receive. A recent poll asked $1,015$ parents

who have children in grades $K-12$ if they were satisfied with the quality of education the students receive. Of the $1,015$ surveyed, $481$ indicated that they were satisfied.

Construct a $90\%$ 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?

$H_0$:$p,0\mathrm{.}42$ versus $H_1$:$p,0\mathrm{.}42$

$($Round to two decimal places as needed.$)$

Use technology to find the $90\%$ confidence interval.

The lower bound is

The upper bound is $0\mathrm{.}45.$

$($Round to two decimal places as needed.$)$