When Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1059 Americans showed that 50.6% of them disapproved of Kavanaugh. A newspaper published an article with thisheadline: "Majority of Americans Disapprove of Kavanaugh." Use a 0.10 significance level to test the claim made in that headline. Use the P-value method. Use the normal distribution as an approximationto the binomial distribution.Let p denote the population proportion of all Americans who disapproved of Kavanaugh. Identify the null and alternative hypotheses.Ho: PH₁: p▼(Type integers or decimals. Do not round.)Identify the test statistic.(Round to two decimal places as needed.)Identify the P-value.CP-value=(Round to three decimal places as needed.)State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.the null hypothesis. Theresufficient evidence tothe claim that a majority of Americans disapproved of Kavanaugh.

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Answered: When Brett Kavanaugh was nominated to…

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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The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of ? b. What is the random variable in this problem? Define it in words. c. What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours? d. What is the probability that the average life in the sample will be greater than 3,219.24 hours? e.Whatistheprobabilitythattheaveragelifeinthesamplewillbelessthan3,180.96 hours?
A brewery filling machine is adjusted to fill quart bottles with a mean of 32.0 oz of ale and a variance of 0.003. Periodically, a bottle is checked and the amount of ale is noted. a. Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 32.02 oz? b. Let's say you buy 100 quart bottles of this ale for a party; how many bottles would you expect to find containing more than 32.02 oz of ale?
A poll of 2,163 randomly selected adults showed that 91% of them own cell phones. The technology display below results from a test of the claim that 92% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e) A.) Is the test two-tailed, left-tailed, or right-tailed? B.)What is the test statistic? C.)What is the P-value? D.) What is the null hypothesis and what do you conclude about it? E.) Choose the correct answer below. A. Reject the null hypothesis because the P-value is less than or equal to the significance level, alphaα. B. Fail to rejectFail to reject the null hypothesis because the P-value is greater than the significance level, alphaα. C.Fail to rejectFail to reject the null hypothesis because the P-value is less than or equal to the significance level, alphaα. D.Reject the null hypothesis because the P-value is greater than the significance…
A big box contains 80 red toys and 35 blue toys. Assume sampling is done with replacement, and that we are selecting toys at random: A. What is the probability of selecting a blue toy? B. What is the probability of selecting a red toy and then a blue toy? C. What is the distribution that best describes this data? Can this distribution be approximated by a normal distribution? Why / why not?D. Suppose we are interested in the number of blue toys we get from this box if we select five different toys, what is the mean and standard deviation of the number of blue toys we get in these five samples?
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A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 19.8 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 19.8 weeks and that the population standard deviation is 5.9 weeks. Suppose you would like to select a random sample of 152 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 19 and 20.7. P(19 < x < 20.7) = 0.1153 or Find the probability that a sample of size n = 152 is randomly selected with a mean between 19 and 20.7. P(19 << 20.7) = 0.9244 X Enter your answers as numbers accurate to 4 decimal places.
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