Answered: A school board would like to know…

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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Question

A school board would like to know whether a school referendum is likely to pass in their town. A referendum requires a simple majority of votes to pass. A simple random sample of 200 residents of the town is taken and, of the 200, 110 express support for the referendum. A significance test is performed using the hypotheses H₀: p = 0.5 and H_a: p > 0.5, which results in a P-value of 0.0787. Which of the following statements correctly interprets the P-value of the test?

A. There is a 7.87% chance that p = 0.5.

B. There is a 7.87% chance that p = 0.55.

C. There is a 7.87% chance that the referendum will pass.

D. If samples like these were to be taken many, many times, about 7.87% of those samples would result in the referendum passing.

E. If support for the referendum really was 50%, there is a 0.0787 probability that the sample of 200 obtained would result in 110 or more supporting the referendum.

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