Historically, 78% of the students who complete Professor Smith online Math 12 co

Question

Historically, 78% of the students who complete Professor Smith online Math 12 course earn a passing grade (C or better). Mike, a student in the current class, believes that this percentage may be higher than it has been in the past, so he runs a valid hypothesis test and finds his test sample data to have p-value of 0.006. Write out the null and alternative hypotheses for this test and then write a conclusion for the test at the alpha = 0.05 level of significance based on Lucas's results.

NOTE: you will not be able to run the test yourself because you have not been given the sample data. You only need to state the hypotheses and the conclusion based on Lucas's results.

Explanation / Answer

The null hypothesis is

H0:P=0.78 (The percentage of population proportion is 78%)

Against the alternative hypothesis

H1:P>0.78 (The percentage of population proportion is greater than 78%)

The P value is 0.006, which is less than alpha=0.05, thus reject the null hypothesis. So, this percentage may be higher than it has been in the past.

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