Asked by
Emily Flores
on Dec 01, 2024
Verified
A researcher performs a hypothesis test to test the claim that among car owners in one town,the mean number of kilometres driven per year is greater than 22,540.Use the provided computer output to draw a conclusion about the number of miles driven at a significance level of 0.01. Test of H0\mathrm { H } _ { 0 }H0 : ? = 22,540 vs HA\mathrm { H } _ { \mathrm { A } }HA : ? > 22,540
N Mean StDev t P-value
26 25,270 6750 2.06 0.025
A) Reject the null - there is sufficient evidence to say that car owners in the town drive more than 22,540 km/yr on average.
B) Reject the null - there is not enough evidence to say that car owners in the town drive more than 22,540 km/yr on average.
C) Fail to reject the null - there is not enough evidence to say that car owners in the town drive more than 22,540 km/yr on average.
D) Fail to reject the null - there is sufficient evidence to say that car owners in the town drive more than 22,540 km/yr on average.
E) There is insufficient information to draw a conclusion.
Significance Level
A threshold within hypothesis testing that determines whether to reject the null hypothesis, often denoted by alpha (α) and representing the probability of a Type I error.
Kilometres
A unit of length in the metric system equal to 1,000 meters, commonly used to measure distances between geographical locations.
Mean Number
The average value of a set of numbers, calculated by dividing the sum of all numbers by the count of those numbers.
- Decode the meaning behind p-values and statistical significance in varied contexts.
Verified Answer
SR
Learning Objectives
- Decode the meaning behind p-values and statistical significance in varied contexts.