Question

Several years ago, 51% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,035 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,035 surveyed, 454 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.

Answer 1

Therefore, based on the data provided, the 99% confidence interval for the difference between the population proportions p1​−p2​ is 0.015<p<0.128, which indicates that we are 99% confident that the true difference between population proportions is contained by the interval (0.015, 0.128). Hence this represents evidence that parents' attitudes toward the quality of education have changed.

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