Answered: A presidential candidate's aide…

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 presidential candidate's aide estimates that, among all college students, the proportion

who intend to vote in the upcoming election is at least

60%

. If

140

out of a random sample of

240

college students expressed an intent to vote, can we reject the aide's estimate at the

0.1

level of significance?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:	H0:__?
The alternative hypothesis:	H1:__?
The type of test statistic:	(Choose one)Z,t,Chi square,F

The value of the test statistic: (Round to at least three decimal places.)	__?
The critical value at the 0.1 level of significance: (Round to at least three decimal places.)	__?
Can we reject the aide's estimate that the proportion of college students who intend to vote is at least 60%? YES or No?

Expert Solution

Step 1

Stating the appropriate null and alternative hypotheses:

The claim is that the proportion, p who intend to vote in the upcoming election is at least

60%.

That is, the claim is that p≥0.60

The hypotheses are given below:

Null hypothesis:

H₀ :p ≥ 0.60.

Alternative hypothesis:

H₁:p < 0.60

Since alternative hypothesis is less than type test is left tailed.

Since the data deals with proportion, the z-test for proportion can be used for the testing.

Type of test statistic is z.

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