Question

In 1999, 45% of freshmen at a particular college had enrolled in an introductory English course. In a sample of 800 students this year, 460 freshmen had enrolled in an introductory English course. Which type of test should be used to determine whether the percentage has increased since 1999?

Answer 1

Percentage of freshmen who had enrolled in an introductory English course =  45%

p = 45%/100% = 0.45 (Population proportion)

So, to test if the percentage of freshmen who had enrolled in an introductory English course has increased since 1999

We use one sample z test for proportion

Answer:

One sample z test for proportion

Hypothesis for the test will be:

Null hypothesis( ) = Percentage of freshmen who had enrolled in an introductory English course is 45% (remain same as 1999)

Alternative Hypothesis () = Percentage of freshmen who had enrolled in an introductory English course is greater than 45% (increased since 1999)