Question

In: Statistics and Probability

The Chancellor of the University System has recently indicated that classes in the Fall of 2020...

The Chancellor of the University System has recently indicated that classes in the Fall of 2020 will continue to be virtual to be able to cope with the Corona Virus. Assume that all business students take a student satisfaction survey each semester. A researcher wants to compare two random groups of students from Fall 2019 to Fall 2020 in their satisfaction scores. The Chancellor has indicated that student satisfaction will improve with virtual classes. The groups are called FSS2019 for Student Satisfaction scores for Fall, 2020 and FSS202- for Student Satisfaction Scores for Fall, 2020. The study will calculate the difference using a confidence level of 95%. The population standard deviation is known.

Which of the following is a good example of a Null Hypothesis?

Select one:

a. FSS2020 >= FSS2019

b. FSS2019 = FSS2020

c. FSS2020<= FSS2019

d. FSS2019<FSS2020

What best describes this type of test?

Select one:

a. Two-tailed test

b. One-tailed test

c. Weighted Means

d. P-value approach

The results are in, but due to the inability of the researcher to get random samples, the research believes that they may be subject to Type 1 error. What will that mean for this research?

Select one:

a. The researcher will reject the true Null Hypothesis

b. The researcher will fail to reject the true Null Hypothesis

c. The researcher will reject the true Alternative Hypothesis

d. The researcher will fail to reject the true Alternative Hypothesis

The results are in, but due to the inability of the researcher to get random samples, the research believes that they may be subject to Type 2 error. What will that mean for this research?

Select one:

a. The researcher will reject the true Null Hypothesis

b. The researcher will fail to reject the true Null Hypothesis

c. The researcher will reject the true Alternative Hypothesis

d. The researcher will fail to reject the true Alternative Hypothesis

Solutions

Expert Solution

Here, a researcher wants to compare two random groups of students from Fall 2019 to Fall 2020 in their satisfaction scores. If the grouos are called FSS2019 for fall 2019 and FSS2020 for fall 2020 , an example of a good null hypothesis is:

H0 : FSS2019 = FSS2020

Answer : b. FSS2019 = FSS2020

The Chancellor has indicated that student satisfaction will improve with virtual classes. Therefore, we want to see whether the satisfaction scores of fall 2020 are greater than that of 2019. in such a scenario, we conduct a one tailed test.

Answer : b. One-tailed test

We know that , making a type I error means rejecting a true null hypothesis. Therefore, in this case, it will mean :

a. The researcher will reject the true Null Hypothesis

We know that , making a type 2 error means failing to reject a false null hypothesis. Therefore, in this case, it will mean :

c.The researcher will reject the true Alternative Hypothesis


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