Use the following information to answer the next 6 questions. At BYU-Idaho there has been a lot of interest in the performance of students in online classes. Generally, administrators are interested to know if there is a difference in the learning of students who take an online course compared to those who take a traditional course. A study was done to see if the grade received in the course is related to the type of course. Researchers collected the grades of students in a traditional Business Statistics class and compared those with the grades earned by students in an online Business Statistics class. Using the data below, determine if a student's grade is affected by the type of course he or she is enrolled in. Use a level of significance of 0.05.

Are the requirements satisfied to conduct a hypothesis test? If they are not, complete the remainder of the problems anyway.

Yes, the sample size is large (207).

No, the sample size is too small for multiple cells in the table.

No, not all the expected counts are greater than 5.

Yes, all of the expected counts are greater than or equal to 5.

Give the appropriate null and alternative hypotheses.

Calculate the test statistic, x2. (Round to three decimals, Example: 3.456)

Calculate the degrees of freedom.

Give the P-value based on the test statistic. (Round to three decimals, Example: 0.034)

What decision do you make based on the P-value and the level of significance (), and, thus, what do you conclude?

Fail to reject the null. There is sufficient evidence to suggest that the grade and type of class are independent.

Fail to reject the null. There is insufficient evidence to suggest that the grade and type of class are not independent.

Fail to reject the null. There is sufficient evidence to suggest that the grade and type of class are not dependent.

Reject the null. There is insufficient evidence to suggest that that the grade and type of class are not independent.