Who will you vote for? A simple random sample of 1500 voters were surveyed and askedwhether they were planning to vote for the incumbent mayor for re-election. Sevenhundred ninety-eight of them replied that they were planning to vote for the mayor. Themayor claims that more than half of all voters are planning to vote for her. To test thisclaim, a test of the hypotheses Ho: p = 0.5 versus H₁: p > 0.5 is performed.a. Show that the P-value is 0.007.b. The P-value is very small, so Ho is rejected. A pollster claims that because the P-valueis very small, we can be fairly certain that the population proportion p is greater than0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of theP-value?

Answered: a. Show that the P-value is 0.007. b.…

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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A researcher belleves that 52% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.52), which is the probability that there will be 52% or more people with IQ Scores over 100 in the sample. Round your answer to four decimal places. 2022 acer
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