MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A true/false test has
100
questions. Suppose a passing grade is
60
or more correct answers. Test the claim that a student knows more than half of the answers and is not just guessing. Assume the student gets
60
answers correct out of
100.
Use a significance level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given below. Show step 3, finding the test statistic and the p-value and step 4, interpreting the results.Step 1:
H0:
p=0.50
Step 1:
Ha:
p>0.50
Step 2: Choose the one-proportion z-test. Sample size is large enough, because
np0
is
100(0.5)=50
and
n1−p0
=
100(.5)
=
50,
and both are more than 10. Assume the sample is random.Step 3: Compute the z-test statistic, and the p-value.
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