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- Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. We want to construct a 90% confidence interval estimate for the difference between the true proportion of males who say they would return the money to their neighbor and the true proportion of females who say they would return the money to their neighbor. Choose the best option for the result of constructing that interval. O -226 < p1 -p2 < +.003 O-226 < p1 -p2 <.-.048 O -243 < p1 -p2 < -.0312 different treatments were used to speed the relief time (in minutes) of migraines. 8 subjects received each treatment. The recovery times are listed below. Treatment 1: 20 19 29 25 34 32 39 38 Treatment 2: 18 18 16 17 29 28 21 37 Construct a 90% confidence interval for the difference in the relief time between the 2 treatments.Do the t-test and test the null hypothesis that the two means are equal at the 95% confidence interval?
- QUESTION 1 a) Two machines are used to fill glass bottles with a net volume of 13.0ml. The filling processes are assumed to be normally distributed, with common but unknown standard deviations. The quality department suspects that both machines fill to the same net volume, whether or not this volume is 13.0ml. An experiment is performed by taking a random sample from the output of each machine. 13.01 12.98 13.02 13.05 12.99 Machine 1 13.03 13.01 12.96 12.97 13.04 13.04 13.02 13.01 13.05 13.02 Machine 2 13.00 12.96 12.99 13.02 13.03Several 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 1,025 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,025 surveyed, 484 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.The Pizza Shop wanted to determine what proportion of its customers ordered only cheese pizza. Out of 80 customers surveyed, 15 ordered cheese pizza. They want a 99% confidence interval of the true proportion of customers who order only cheese pizza. What is the 99% confidence interval of the true proportion of customers who order only cheese pizza? (0.075, 0.300) (0.115, 0.260) (0.086, 0.289) (0.102, 0.273)
- What is the solution to the question?Several years ago, 37%of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 486 of 1,165 parents with children in gradesK-12 were satisfied with the quality of education the students receive. 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 = versus H1: p (Type integers or decimals. Do not round.)A market research business is interested in testing the hypothesis that the proportion of students who own a car is smaller for the local university campus than for the local private college. They interviewed 240 students from the university and 250 students from the private college. The number of students who owned a car was 162 at the university and 183 at the private college. Construct a 99% confidence interval for the difference in the true proportions of students who own cars at the two campuses (rounded off to three decimals).
- A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo. The outcome is pain relief within 30 minutes. Generate a 95% confidence interval for the proportion of patients on the new medication who report paint relief. Generate a 95% confidence interval for the difference in proportions of patients who report pain relief. Pain Relief No Pain Relief New Medication 44 76 Placebo 21 99Several years ago, 48% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 469 of 1,145 parents with children in grades K-12 were satisfied with the quality of education the students receive. Construct a 99% 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 V versus H, : p (Type integers or decimals. Do not round.) Find the 99% confidence interval. The lower bound is The upper bound is (Round to three decimal places as needed.) What is the correct conclusion? O 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. O B. Since the interval contains the proportion stated in the…A 95% confidence interval for the proportion of students achieving a reading achievement score that is above the standard set by the teachers for a population of third grade students is (0.43, 0.49). Which is the correct interpretation of the confidence interval? a)95% of the third grade students scores between 43% and 49% of the reading achievement score. b)We are 95% confident that 43% to 49% of elementary school students achieves reading achievement score above the standard. c)We are 95% confident the true proportion of third grade students achieves reading achievement score above the standard is between 43% to 49% d)We are 95% confident that 43% to 49% of the sample of third graders achieves reading achievement score above the standard.