Answered: Identify the null and alternative…

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,

481

were in favor,

396

were opposed, and

117

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

117

subjects who said that they were unsure, and use a

0.05

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. Choose the correct answer below.**

- **A.** $ H_0: p \neq 0.5 $
$ H_1: p = 0.5 $

- **B.** $ H_0: p = 0.5 $
$ H_1: p > 0.5 $

- **C.** $ H_0: p = 0.5 $
$ H_1: p < 0.5 $

- **D.** $ H_0: p = 0.5 $
$ H_1: p \neq 0.5 $

**Selected Answer:** A

**Identify the test statistic for this hypothesis test.**

The test statistic for this hypothesis test is $\_\_\_\_ $.
*(Round to two decimal places as needed.)*

**Identify the P-value for this hypothesis test.**

The P-value for this hypothesis test is $\_\_\_\_ $.
*(Round to three decimal places as needed.)*

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