Find the 9 confidence interval

Several years​ ago, 45​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,145 parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the 1,145 ​surveyed, 461 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.

H0 : p = 0.45 versus H1 : p â‰  0.45

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Use technology to find the 90​% confidence interval.

(__) , (__)

(Round to two decimal places as needed.)

What is the correct conclusion?

A) Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents’ attitudes toward the quality of education have changed.

B) Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents’ attitudes toward the quality of education have changed.

C) Since the interval contains the proportion stated in the null hypothesis, there is insufficient evidence that parents’ attitudes toward the quality of education have changed.

D) Since the interval does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents’ attitudes toward the quality of education have changed.

 

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