Several years ago, 46% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,015 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,015 surveyed, 467 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. a) What are the null and alternative hypotheses? please pick from the following symbols = ≠ ˃ ˂ (Round to two decimal places as needed.) see attached b) Use technology to find the 99% confidence interval. (____, ____) (Round to two decimal places as needed.) c) 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 contains 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 does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed.
Several years ago, 46% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,015 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,015 surveyed, 467 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
a) What are the null and alternative hypotheses? please pick from the following symbols = ≠ ˃ ˂ (Round to two decimal places as needed.) see attached
b) Use technology to find the 99% confidence interval.
(____, ____) (Round to two decimal places as needed.)
c) 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 contains 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 does not contain 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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