---### Statistical Analysis Example#### Hypothesis Testing with ProportionsIn 1945, an organization asked 1504 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 792 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945? Use the α = 0.05 level of significance.Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).#### Calculation Process:##### z-value Calculation:\[ z_0 = 2.06 \](Round to two decimal places as needed.)##### Determine the critical value(s):Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.)A. The critical values are \[ \_ \]B. The critical value is \[ \_ \]---This example illustrates how to derive conclusions from survey data using hypothesis testing. If you’d like further assistance or practice, check out the following resources:- Help me solve this- View an example- Get more helpYou can also use the standard normal distribution tables provided to complete similar problems involving hypothesis testing.---

From the provided information, Sample size (n) = 1504 From which 792 responded yes. Level of…

Answered: In 1945, an organization asked 1504…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Researchers at a reputable university and a reputable health organization claim that approximately 77% of people believe "tranquilizers work very well to make a person more calm and relaxed." Of the next 80 people interviewed, what is the probability that (a) at least 52 are of this opinion? (b) at most 58 are of this opinion? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability is (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)
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d) Which number of minutes per day represents the 70th percentile? (Round to the nearest whole number as needed.)
In a poll, 51% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 2%, and the estimate was made with 94% confidence. At least how many people were surveyed? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). The minimum number of surveyed people was (Round up to the nearest integer.)
In February 2021, Pew Research asked 2,596 random US adults what gives them meaning in life. 17% of respondents said, "occupation and career. We know that the proportion of the sample who answer "occupation and career" will vary in repeated sampling. In repeated sampling, the sample proportion, p-hat, has an approximately normal distribution with mean 0.17 and standard deviation 0.007. Use this information to answer the 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 career b) Find the probability that between 0.159 and 0.179 of a random sample of 2,596 US adults respond "occupation and career c) What is the sample proportion that cuts off the lowest 10% all proportions for samples of size 2,596?**
You are interested in how uniform the lengths of socks are that are produced at a factory. You measure the distribution and see that there is a normal distribution for the length of the socks. Given the following information, how likely is it that a sock is above 25 cm. Mean: 20 Standard deviation: 10.5
What is the shape of the male life expectancy distribution? What is greater the mean or the median? Considering the histogram, do you think it’s unusual for a male to live over 86 years old ? Why or why not What is the probability for a random sample of 36 males, their mean age of death will be greater than 86? Would this sample be considered unusual?
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?
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In February 2021, Pew Research asked 2,596 random US adults what gives them meaning in life. 17% of respondents said, "occupation and career. We know that the proportion of the sample who answer "occupation and career" will vary in repeated sampling. In repeated sampling, the sample proportion, p-hat, has an approximately normal distribution with mean 0.17 and standard deviation 0.007. Use this information to answer the 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 career b) Find the probability that between 0.159 and 0.179 of a random sample of 2,596 US adults respond "occupation and career c) What is the sample proportion that cuts off the lowest 10% all proportions for samples of size 2.596?**
In a survey conducted by a reputable marketing agency, 241 of 1000 adults 19 years of age or older confessed to bringing and using their cell phone every trip to the bathroom (confessions included texting and answering phone calls). Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the sample in this study? What is the population of interest? Determine the sample in this study. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The sample is all adults with a cell phone. O B. The sample is all adults 19 years of age or older. O C. The sample is the adults 19 years of age or older. (Type a whole number.) O D. The sample is all adults.

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