Homework: HW #13: Section 10.2 Score: 0 of 1 pt 10.2.23 Save 8 of 13 (9 complete

Question

Homework: HW #13: Section 10.2 Score: 0 of 1 pt 10.2.23 Save 8 of 13 (9 complete) HW Score: 57 69%, 7.5 of 13 pts Question Help * Several years ago, 42% of parents who had children in grades K-12 were satisfied with the quality of education the students rece ve A re et poll asked 18 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,185 surveyed, 499 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 altemative hypotheses? Hop 7.42 versus H1:p # 42 Round to two decimal places as needed.) Use technology to find the 90% confidence interval. The lower bound is The upper bound is Round to two decimal places as needed.) Enter in the edt fields and then c

Explanation / Answer

Solution :

Given that p = 0.42 , n = 1185

=> q = 1 - p = 0.58

=> for 90% confidence interval ,Z = 1.645

=> The 90% confidence interval is p +/- Z*sqrt(p*q/n)

=> 0.42 +/- 1.645*sqrt(0.42*0.58/1185)

=> (0.40 , 0.44) (rounded)

=> Lower bound is = 0.40

=> Upper bound is = 0.44

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