A software company advertises that its software can improve

A software company advertises that its software can improve students\' statistics grade by 15%. One student conducts a hypothesis test to see if the percentage increase is less than 15%. The conclusion of the hypothesis test is to reject the null hypothesis. If the true percentage increase in grade for all students using the software is 13%: Write the hypotheses to model the situation Comment on whether or not an error was committed and If yes, which one. The Math Department reports that the failure rate for college algebra is no more than 35% in any given semester A group of students believe the rate is higher, and they decided to use a hypothesis lest to see if they are correct. Based on the sample they obtain, they decided to reject the null hypothesis if, in reality, the failure rate is 34%, did the students make an error?

Solution

6.

a)

He believes that the percentage is \"incorrect\", regardless if it is less than or greater than. So, this is two tailed.

Thus,

Ho: p = 0.32
Ha: p =/= 0.32 [ANSWER]

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b)

In reality, p = 0.33 =/= 0.32, but she did not reject Ho.

So, this is a TYPE II ERROR. [ANSWER]

Note: A type II error is incorrectly failing to reject a false null hypothesis.

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