The mother of a teenager has heard a claim that 25% of teenagers who drive and use a cell phone reported texting while driving.  She thinks that this rate is too high and wants to test the hypothesis that fewer than 25% of these drivers have texted while driving. She polls 40 randomly selected teenagers and 5 of them report having texted while driving.  Use a 0.05 significance level to test the mother’s claim. 1) State the null and alternative hypotheses 2) Identify the test statistic.  Round to three decimal places 3) Identify the P-value.  Round to three decimal places 4) Should you reject or fail to reject the null hypothesis? Why?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

The mother of a teenager has heard a claim that 25% of teenagers who drive and use a cell phone reported texting while driving.  She thinks that this rate is too high and wants to test the hypothesis that fewer than 25% of these drivers have texted while driving. She polls 40 randomly selected teenagers and 5 of them report having texted while driving.  Use a 0.05 significance level to test the mother’s claim.

1) State the null and alternative hypotheses

2) Identify the test statistic.  Round to three decimal places

3) Identify the P-value.  Round to three decimal places

4) Should you reject or fail to reject the null hypothesis? Why?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman