3 Each year Crowmouth running club stages a marathon. From previous years it is known that 17% of the people who enter will complete the marathon in under 3 hours. This year, the start time of the race has changed. A sports scientist claims that as a result, the percentage of entrants who finish in under 3 hours will increase. There will be 500 people competing in this year's race. The number finishing in under 3 hours is to be modelled using the binomial distribution. (a) Give one reason why the binomial distribution might not be appropriate. Assuming that the binomial distribution is appropriate, a hypothesis test at the 10% significance level is to be used to test the scientist's claim. (b) Write down the hypotheses that should be used. (c) Find the critical region for the test and state the actual significance level that the test will use. (d) Explain why a test value that is not in the critical region will not disprove the scientist's claim.
3 Each year Crowmouth running club stages a marathon. From previous years it is known that 17% of the people who enter will complete the marathon in under 3 hours. This year, the start time of the race has changed. A sports scientist claims that as a result, the percentage of entrants who finish in under 3 hours will increase. There will be 500 people competing in this year's race. The number finishing in under 3 hours is to be modelled using the binomial distribution. (a) Give one reason why the binomial distribution might not be appropriate. Assuming that the binomial distribution is appropriate, a hypothesis test at the 10% significance level is to be used to test the scientist's claim. (b) Write down the hypotheses that should be used. (c) Find the critical region for the test and state the actual significance level that the test will use. (d) Explain why a test value that is not in the critical region will not disprove the scientist's claim.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer part (a) (b) (C) and (d). Thank you in advanced
![3
Each year Crowmouth running club stages a marathon.
From previous years it is known that 17% of the people who enter will complete the marathon in
under 3 hours.
This year, the start time of the race has changed. A sports scientist claims that as a result, the
percentage of entrants who finish in under 3 hours will increase.
There will be 500 people competing in this year's race. The number finishing in under 3 hours is
to be modelled using the binomial distribution.
(a) Give one reason why the binomial distribution might not be appropriate.
Assuming that the binomial distribution is appropriate, a hypothesis test at the 10% significance
level is to be used to test the scientist's claim.
(b) Write down the hypotheses that should be used.
(c) Find the critical region for the test and state the actual significance level that the test will
use.
(d) Explain why a test value that is not in the critical region will not disprove the scientist's
claim.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b379c3f-af09-4b4d-b202-fe506c36fa98%2F6ba99d57-08a2-4cdc-8744-91b0bbe46227%2Fjtny9l4_processed.png&w=3840&q=75)
Transcribed Image Text:3
Each year Crowmouth running club stages a marathon.
From previous years it is known that 17% of the people who enter will complete the marathon in
under 3 hours.
This year, the start time of the race has changed. A sports scientist claims that as a result, the
percentage of entrants who finish in under 3 hours will increase.
There will be 500 people competing in this year's race. The number finishing in under 3 hours is
to be modelled using the binomial distribution.
(a) Give one reason why the binomial distribution might not be appropriate.
Assuming that the binomial distribution is appropriate, a hypothesis test at the 10% significance
level is to be used to test the scientist's claim.
(b) Write down the hypotheses that should be used.
(c) Find the critical region for the test and state the actual significance level that the test will
use.
(d) Explain why a test value that is not in the critical region will not disprove the scientist's
claim.
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