It has been estimated that 20% of the students at a large college own bicycles. In order to determine for accuracy of this estimate a random sample of students from the college is selected. Each student in the sample is asked whether he or she owns a bicycle. Using the data obtained from the sample, a test is conducted of the null hypothesis

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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It has been estimated that 20% of the students at a large college own bicycles. In order to determine for accuracy of this estimate a random sample of students from the college is selected. Each student in the sample is asked whether he or she owns a bicycle. Using the data obtained from the sample, a test is conducted of the null hypothesis Ho: p = 0.2 again st the alternative hypothesis Ha: p does not equal 0.2, where p is the proportion of all students at the college who own bicycles. Of the following, which is the best interpretation of p-value for the test?

A) The probability that Ho should be rejected.

B) The probability that Ho is true.

C) The probability that Ha is true 

D) The probability of getting a sample proportion at least as far from 0.2 as the one obtained, given that Ha is true

E) The probability of getting a sample proportion at least as from 0.2 as the one obtained, given that Ho is true. 

Expert Solution
Step 1

Given that 

The Null and alternative hypothesis is. 

H0 : p=0.2

Ha : p≠0.2

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