b. In a random sample, 165 of 500 persons given a flu vaccine experienced some discomfort.Construct a 95% confidence interval for the actual proportion of persons who willexperience some discomfort from the vaccine.i.ii. A researcher claims that the actual proportion of persons who will experience somediscomfort from the vaccine is 30%. Using a 0.01 level of significance, test thehypothesis that the actual proportion of persons experiencing discomfort from thevaccine exceeds 30%.

Given that Sample size n =500 Favorable cases x =165 Sample proportion p^=x/n =165/500 =0.33

Answered: b. In a random sample, 165 of 500…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Several years ago, 43% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,075 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,075 surveyed, 466 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? Ho: P versus H4: p (Round to two decimal places as needed.)
What is the effect on a confidence interval if one decreases both sample size and the level of confidence?
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 1,055 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,055 surveyed, 488 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? Ho: p (Type integers or decimals rounded to two decimal places as needed.) versus H,:p Use technology to find the 90% confidence interval. We are 90% confident the proportion of parents who had children in grades K-12 that were satisfied with the quality of education the students receive is between and (Type integers or decimals rounded to two decimal places as needed.) What is the correct conclusion? O A. Since the interval does not contain the proportion stated…
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