Answered: A recent study at a local college…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

A recent study at a local college claimed that the proportion,

, of students who commute more than fifteen miles to school is no more than

25%

. If a random sample of

270

students at this college is selected, and it is found that

commute more than fifteen miles to school, can we reject the college's claim 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.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

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 claim that the proportion of students who commute more than fifteen miles to school is no more than 25% ?	Yes	No

Expert Solution

Step 1

State the hypotheses.

That is, there is no evidence that the proportion, of students who commute more than fifteen miles to school is no more than 25%.

That is, there is evidence that the proportion, of students who commute more than fifteen miles to school is no more than 25%.

Determine the type of test statistic used.

The type of the test used here is one sample proportion using z. That is, the type of test statistic used here is z.

Step by step

Solved in 3 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Proportions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions