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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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