What is the correct conclusion? O A. 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. O B. 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. O C. 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. O D. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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chapter 10 number 12.  I need help with the last part.  The statement.  I answered incorrectly and do not understand why it is wrong and which one would be correct.

Several years ago, 38% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 454 of 1,205 parents with children in grades K-12 were satisfied with the
quality of education the students receive. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
E Click the icon to view the Confidence Interval Critical Value table
What are the null and alternative hypotheses?
Ho: p = 38 versus H,: p # 38
(Type integers or decimals. Do not round.)
Find the 90% confidence interval.
The lower bound is 354
The upper bound is 400
(Round to three decimal places as needed.)
What is the correct conclusion?
O A. 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.
O B. 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.
O C. 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.
O D. 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.
Transcribed Image Text:Several years ago, 38% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 454 of 1,205 parents with children in grades K-12 were satisfied with the quality of education the students receive. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. E Click the icon to view the Confidence Interval Critical Value table What are the null and alternative hypotheses? Ho: p = 38 versus H,: p # 38 (Type integers or decimals. Do not round.) Find the 90% confidence interval. The lower bound is 354 The upper bound is 400 (Round to three decimal places as needed.) What is the correct conclusion? O A. 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. O B. 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. O C. 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. O D. 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.
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