Assignment 1:
Hypothesis Testing
You have collected a random sample of 250 freshmen students on their final GPA in the spring of 2022. The descriptive statistics are shown in the following table:
|
Sample size |
Mean GPA |
Stand. Deviation |
|
250 |
3.69 |
0.55 |
The university’s GPA of freshmen students is 3.15.
You have hypothesized that the mean GPA of your sample is greater than the university’s GPA.
1. Run a test of your hypothesis at 5% level of significance. Follow all the steps of hypothesis Testing (10 points).
2. Write the conclusion. (5 points).
Assignment 2:
Hypothesis Testing
The National Institutes of Health (NIH) reports that the prevalence of hypertension (high blood pressure) among older adults is 60% (0.60). A study was conducted in Kentucky to assess the prevalence of hypertension. The prevalence of hypertension among older adults are shown in the table below:
|
Total number of adults in the sample |
Number of adults with hypertension |
|
690 |
448 |
Conduct a test of hypothesis at 5% significance level to show whether the prevalence of hypertension among the older adults in Kentucky is greater or less to the NIH findings. (
Note: The alternative hypothesis (H1: μ0 ≠ 0.60). It may be greater (>) or less (<). This is a two-tailed test; For significance level
See Table 1C).
1. Run a test of your hypothesis at 5% level of significance. Follow all the steps of hypothesis Testing (10 points).
2. Write the conclusion. (5 points).
