Question

**2. **** In this question set you will be using StatKey to conduct randomization tests for a**

** single proportion. A STAT 200 instructor wants to know if less than half of online students regularly use the Canvas app ( > 5 times a week).[70 points total]**

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**A. Using the five steps from the online notes, conduct a randomization test given that 6 students in a random sample of 15 use the Canvas app on a regular basis (> 5 times a week). Be sure to include your relevant StatKey output. ****[30 points]**

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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.

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**B. Using the five steps from the online notes, conduct a randomization test given that 48 students in a random sample of 120 use the Canvas app regularly. Be sure to include your relevant StatKey output. ****[30 points]**

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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.

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**C. In parts A and B the hypotheses and sample proportions were the same. Explain why the p-value decreased when the sample size increased. [10 points]**

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