Some college students like taking online classes. Other students prefer face-to-face classes. COVID provided an opportunity to see what would happen if everyone was forced to take math classes online....

Some college students like taking online classes. Other students prefer face-to-face classes. COVID provided an opportunity to see what would happen if everyone was forced to take math classes online.


One of the ways that student success is monitored by colleges is with pass rates. The pass rate is the percent of students who pass the class (with a 2.0 or higher grade). For some of the Pierce College math classes, the average pre-COVID pass rate is 71.0%


In this problem, we will examine the change in student success, as measured by pass rates in math classes. Test the hypothesis that during the COVID quarters (spring 2020-winter 2021), the mean pass rate is different than 71.0%. Use a level of significance of 0.05 to test that hypothesis.




For the hypotheses, write mu if you want μμ and write ne with a space before and after it if you want ≠≠.


Write the hypotheses:  H0H0:     H1:H1:


The data in the table below is based on a random selection (with replacement) of pass rates during COVID quarters. The numbers are the percent of students who passed.

What is the value of the appropriate statistic (ˆp,¯x,rp^,x¯,r)?
What is the standard deviation for this sample data?




Make an appropriate graph for the data using computer software. It should be labeled completely. Take a screenshot. Upload image of graph here:  Question 1 Part 5 of 13Choose FileNo file chosen


Interpret the graph. What are the important things relating to the research question that someone who looks at the graph should notice?











Which formula is used to test the hypothesis?

What is the value of the test statistic (z,t,χ2χ2)for this data?
What is the p-value for this data?
Write a complete concluding sentence the way you were taught.




What is the 95% confidence interval? (,)




What conclusion can be drawn based on the results of this analysis with respect to how students responded to being forced to learn math online compared with before COVID? Explain using complete sentences so that someone who has not taken a statistics class can understand.