Question

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 1,135 parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the 1,135 surveyed, 481 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.

Use technology to find the 99​% confidence interval.

The lower bound is

nothing.

The upper bound is

nothing.

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

Answer 1

1135 Ans Let nt No. of pakents who have children' n&= 45 Xa= No. of parents who have children's that they satified with their children's education x=481 p = Sample propaction. 481=0.423 X 1135 = 0.4238 Lt de 11 Iata Z oon = 2.58 q = I- 1-0,42 38 = 0.5762 Jower bound for is p-7412 99-)._confidence lateral p9 n 0.42.38 2.58 (0.4238) (0.5762) 1135

0.4239 2.58 10.0002151 0.4238 - 0.03783 1. B = 0.3859 ł0.39 Upper Sound - p + 2qz РЧ n = 0.42 38 t 2.58 (0,4238 (0.5762) 1135 50.4238 +0.03783 -0.4616 ~ 0.46 gg.). Confidence interval is Co.39, 0.46) ale Ceen say, thaktheid is 999_chances. that population peopuction is lies. between given interval