Question

In: Statistics and Probability

Research question: In the population of all Penn State students, are more than 80% enrolled full-time?...

Research question: In the population of all Penn State students, are more than 80% enrolled full-time?

In this question set you will be using StatKey to conduct randomization tests for a single proportion. These data are not built in to StatKey, so you will need to “Edit data” to enter in the sample counts. Please show screenshots and work.

B. Using the five steps from the online notes, conduct a randomization test given that 350 students in a sample of 400 are full-time students. Be sure to include your relevant StatKey output. [30 points]

Step 1: Determine what type of test you need to conduct and write the hypotheses.

Step 2: Construct a randomization distribution under the assumption that the null hypothesis is true. Take at least 5000 resamples.

Step 3: Use the randomization distribution to find the p-value.

Step 4: Decide if you should reject or fail to reject the null hypothesis.

Step 5: State a real-world conclusion in relation to the original research question.

Solutions

Expert Solution

1. The one sample proportion z-test is used here.

The hypothesis being tested is:

H0: p = 0.80

Ha: p > 0.80

2. The Statkey output is:

3. The p-value is 1.0000.

4. Since the p-value (1.0000) is greater than the significance level (0.05), we fail to reject the null hypothesis.

5. Therefore, we cannot conclude that the population of all Penn State students, are more than 80% enrolled full-time.

orchestra answered 2 years ago
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