In February 2021, Pew Research asked 2,596 random US adults what gives them meaning in life. 17% of respondents said, "occupation andcareer. We know that the proportion of the sample who answer "occupation and career" will vary in repeated sampling. In repeated sampling, thesample proportion, p-hat, has an approximately normal distribution with mean 0.17 and standard deviation 0.007. Use this information to answerthe questions below. Show your work for each question and round all numeric answers to 3 decimal places.a) Find the probability that at least 0.175 of a random sample of 2,596 US adults respond "occupation and careerb) Find the probability that between 0.159 and 0.179 of a random sample of 2,596 US adults respond "occupation and careerc) What is the sample proportion that cuts off the lowest 10% all proportions for samples of size 2,596?**

It is given that, Proportion, p^ follows normal distribution with mean 0.17 and Standard deviation…

Answered: In February 2021, Pew Research asked…

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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A study was conducted to examine the impact of speaking in public on college students. A class of 15 statistics students participated in the study. At the beginning of a lecture the students recorded their systolic blood pressure. During the lecture the instructor called on each student to stand and answer questions about topics in the lecture. After speaking the students once again recorded their blood pressure. The resulting values are given below along with summary statistics. before 107 123 128 125 136 108 130 113 105 136 146 138 108 149 132 after 141 142 146 136 144 111 132 114 103 133 140 130 100 133 113 difference -34 -19 -18 -11 -8 -3 -2 -1 2 3 6 8 8 16 19 before after difference mean 125.6 127.9 -2.267 st dev 14.53 15.45 14.03 Does this information indicate that blood pressure increased because of speaking? Conduct an appropriate hypothesis test and show appropriate steps. Let μ1 mean systolic blood pressure before speaking in public, and μ2 mean…
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