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Let p equal the proportion of drivers who use a seat belt in a state that does not have
Chapter 8, Problem 8.3-8(choose chapter or problem)
Let p equal the proportion of drivers who use a seat belt in a state that does not have a mandatory seat belt law. It was claimed that p = 0.14. An advertising campaign was conducted to increase this proportion. Two months after the campaign, y = 104 out of a random sample of n = 590 drivers were wearing their seat belts. Was the campaign successful?
(a) Define the null and alternative hypotheses.
(b) Define a critical region with an \(\alpha = 0.01\) significance level.
(c) What is your conclusion?
Questions & Answers
QUESTION:
Let p equal the proportion of drivers who use a seat belt in a state that does not have a mandatory seat belt law. It was claimed that p = 0.14. An advertising campaign was conducted to increase this proportion. Two months after the campaign, y = 104 out of a random sample of n = 590 drivers were wearing their seat belts. Was the campaign successful?
(a) Define the null and alternative hypotheses.
(b) Define a critical region with an \(\alpha = 0.01\) significance level.
(c) What is your conclusion?
ANSWER:Step 1 of 5
(a)
Given:
Given claim: Increase from a proportion of .
The null hypothesis states that the population proportion is equal to the proportion mentioned in the claim. The alternative hypothesis states the claim: