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Homework: 4-2 MyStatLab: Module Four Problem Set Save Score: 0 of 5 pts 9 of 15

ID: 3074277 • Letter: H

Question

Homework: 4-2 MyStatLab: Module Four Problem Set Save Score: 0 of 5 pts 9 of 15 (11 complete) HW Score: 42.76%, 27.79 of 65 p 10.2.23 Question Help Several years ago, 46% o parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1 065 parents who have children in grades 12 they were satisfied with the quality o education the students receive Of the 1 065 surveyed 478 ndicated that they were satisfied. Construct a 95% 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? Ho:p : 46 versus H1:p # .46 (Round to two decimal places as needed.) Use technology to find the 95% confidence interval. The lower bound is The upper bound is (Round to two decimal places as needed) Enter your answer in the edit fields and then click Check Answer Clear All Check Answer Show all 1 order receipt R69... .pdf

Explanation / Answer

Solution:- Given that n = 1065, x = 478

p^ = x/n = 478/1065 = 0.45

95% confidence interval for the Z = 1.96

95% confidence interval = p^ +/- Z*sqrt((p^*(1-p^)/n)

= 0.45 +/- 1.96*sqrt((0.45*0.55/1065))
  
= (0.42 , 0.48)

The lower bound is 0.42

The upper bound is 0.48