A random sample is to be selected from a population that has a proportion of successes p.(a) For which of the following sample sizes would the sampling distribution of p be approximately normal if p = 0.55? (Select all that apply.)On = 10n = 40n = 60n = 90n = 100n = 400(b)For which of the following sample sizes would the sampling distribution of p be approximately normal if p = 0.3? (Select all that apply.)O n = 10n = 40n = 60n = 90n = 10000O n = 400

From the information, given that p̂ = 0.55. We have to Identify the correct options of sample…

Answered: A random sample is to be selected from…

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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Parametric Inferential Statistics
Suppose a simple random sample of size n= 125 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p = 0.4. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. O A. Approximately normal because ns0.05N and np(1- p) 2 10. O B. Approximately normal because ns0.05N and np(1- p) < 10. O C. Not normal because ns0.05N and np(1- p) 2 10. O D. Not normal because ns0.05N and np(1 - p)< 10. Determine the mean of the sampling distribution of p. = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. =(Round to six decimal places as needed.) (b) What is the probability of obtaining x= 55 or more individuals with the characteristic? That is, what is P(p20.44)? P(p20.44) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 40 or…
Mrs. Bracken asks a random sample of 500 adults whether they favor giving vouchers to parents of school age children that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers it collected. Suppose that 45% of the population favor this idea, (a) What is the mean and standard deviation of the sampling distribution of p, the proportion of adults in samples of size n= 500 who favor giving parents of school-age children these vouchers? (b) Calculate the probability that more than half of the sample are in favor. Show your work.
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5. Suppose X is the number of successes in a random sample of size n from a large population with a proportion of success p. What are the mean and the standard deviation of the sampling distribution of X in terms of n and p? The mean is p(l-pland the standard deviation is p(1-p) b. The mean is npand the standard deviation is ap(1-p). The mean is p(1-pland the standard deviation is pp. C. d. The mcan is 7pand the standard deviation is rp.
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The proportion of items in a population that possess a specific attribute is known to be 0.25 a. If a simple random sample of size n=100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.30, what is the sampling error b. Referring to part a, what is the probability that a sample size of 100 would have a sample proportion of 0.30 or less if the population proportion is 0.25
A random sample is to be selected from a population that has a proportion of successes p. (a) For which of the following sample sizes would the sampling distribution of p̂ be approximately normal if p = 0.55? (Select all that apply.) n = 10 n = 30 n = 70 n = 90 n = 100 n = 200 (b) For which of the following sample sizes would the sampling distribution of p̂ be approximately normal if p = 0.4? (Select all that apply.) n = 10 n = 30 n = 70 n = 90 n = 100 n = 200
Suppose it is reported that 75 % of people subscribe to a I cable or satellite television service. You decide to test this claim by randomly sampling 131 people and asking them if they subscribe to cable or satellite televsion. (Round your answer to 4 decimals when necessary) Is the distribution of the sample proportion normal? Yes, the distribution of sample proportions is normal since np(1 − p) ≥ 10 O No, the distribution of sample proportions is not normal since np(1 − p) < 10 What is the mean of the distribution of the sample proportion? H₂² op = 0.75 What is the standard deviation of the distribution of the sample proportion? X 0.0551 X

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