What would your decision be on this hypothesis test if we use a level of significance for the test of alpha = .01?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per
serving. We want to test this hypothesis and to see whether we believe that is true
or that the mean amount of fiber is significantly different from 3 grams. A random
sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the
sample standard deviation in the amount of fiber, s = .8 grams.
Assume that software has determined the p-value to be .02.
What would your decision be on this hypothesis test if we use a level of significance
for the test of alpha = .01?
O Fail to reject the null hypothesis at the 1% level of significance.
O Reject the null hypothesis at the 1% level of significance.
Transcribed Image Text:Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams. Assume that software has determined the p-value to be .02. What would your decision be on this hypothesis test if we use a level of significance for the test of alpha = .01? O Fail to reject the null hypothesis at the 1% level of significance. O Reject the null hypothesis at the 1% level of significance.
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