Suppose it is reported that 75 % of people subscribe to aI cable or satellite television service. You decide to test thisclaim by randomly sampling 131 people and asking them ifthey subscribe to cable or satellite televsion. (Round youranswer to 4 decimals when necessary)Is the distribution of the sample proportion normal?Yes, the distribution of sample proportions is normalsince np(1 − p) ≥ 10O No, the distribution of sample proportions is notnormal since np(1 − p) < 10What is the mean of the distribution of the sampleproportion?H₂²op= 0.75What is the standard deviation of the distribution of thesample proportion?X0.0551X

population proportion p = 0.75sample size, n = 131 people

Answered: Suppose it is reported that 75 % of…

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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When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. A) find the mean of p b)find the standard deviation of p c)Compute an approximation for P≥p0.0125, which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
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32)
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