Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Question
Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,035 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,035 surveyed, 475 indicated 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? \[ H_0: p \quad \text{versus} \quad H_1: p \] (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.) What is the correct conclusion? A. 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. B. 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. C. 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. 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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Transcribed Image Text:Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,035 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,035 surveyed, 475 indicated 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? \[ H_0: p \quad \text{versus} \quad H_1: p \] (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.) What is the correct conclusion? A. 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. B. 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. C. 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. 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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