Answered: Assume that adults were randomly…

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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Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled,

488

were in favor,

402

were opposed, and

116

were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the

116

subjects who said that they were unsure, and use a

0.01

significance level to test the claim that the proportion of subjects who respond in favor is equal to

0.5.

What does the result suggest about the politician's claim?

Identify the null and alternative hypotheses for this test.

Expert Solution

Step 1

Given:

The number of adults who were in favor of using federal tax dollars to fund medical research using stem cells obtained from human embryos are X=488.

The number of adults who oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos are Y=402.

The number of adults who were unsure using federal tax dollars to fund medical research using stem cells obtained from human embryos are Z=116.

In the given scenario, it is mentioned to exclude the subjects who said that they were unsure then the total number of adults polled are n=488+402=890.

The proportion of the adults who were in favor of using federal tax dollars to fund medical research using stem cells obtained from human embryos is given as:

$\hat{p} = \frac{X}{n} = \frac{488}{890} = 0.5483$

Therefore, the proportion is 0.5483.

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