Several years ago, 37% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,145 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,145 surveyed, 478 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?: p = .37 versus H?: p ? .37 (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.)
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This is done by dividing the number of parents who indicated they were satisfied (478) by the total number of parents surveyed (1145). p̂ = 478 / 1145 = 0.417 Show more…
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Several years ago, 44% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,135 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,135 surveyed, 496 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 alternative hypotheses? H0: p = .44 versus H1: p ≠.44 (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.)
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Several years ago, 42% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,045 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,045 surveyed, 497 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? H0: p = 0.42 versus H1: p ≠0.42 (Round to two decimal places as needed.) Use technology to find the 95% confidence interval. The lower bound is blank. The upper bound is blank.
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Use the data and confidence level to construct a confidence interval estimate of $p,$ then address the given question. When she was 9 years of age. Emily Rosa did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 280 trials, the touch therapists were correct 123 times (based on data in "A Close Look at Therapeutic Touch," Journal of the American Medical Association, Vol. 279, No. 13). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? b. Using Emily's sample results, what is the best point estimate of the therapists success rate? c. Using Emily's sample results, construct a $99 \%$ confidence interval estimate of the proportion of correct responses made by touch therapists.
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