4 1 discussion applications of hypothesis tests 1

For your initial post, choose one of the following two prompts to respond to. Then n your two follow up posts, respond at least once in each option. Use the discussion topic as a place to ask questions, speculate about answers, and share insights. Be sure to embed and cite your references for any supporting images.

Write a hypothesis test problem using one of the two options below. For whichever option you choose, gather appropriate data and post your problem (without a solution) in the discussion topic. You may use the same data that you gathered in your Module Three Discussion Topic post. Allow time for your classmates to post their solutions, and then respond to your own post with a solution for others to check their work.

Option 1:

Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather appropriate data and post your problem, Later, respond to your own post with your own solution.

For example, you may believe that the population mean number of times that adults go out for dinner each week is less than 1.5. Your data could be that you spoke with 7 people and found that they went out 2, 0, 1, 5, 0, 2, and 3 times last week. You then would choose to test this hypothesis at the .05 (or another) significance level. Assume a random sample.

Option 2:

Think about a population proportion that you may be interested in and propose a hypothesis test problem for this parameter. Gather appropriate data and post your problem. Later, respond to your own post with your own solution.

For example, you may believe that the population proportion of adults in the US who own SUVs is 0.25. Your data could be that you surveyed people leaving work at the end of the day and found that 13 out of 50 owned an SUV. Test this hypothesis at the .05 (or another) significance level. Assume a random sample.

For your response to a classmate (two responses are required, one in each option), solve your classmate’s hypothesis test problem using a significance level not previously used for that specific classmate’s problem. Include the null and alternative hypothesis, alpha value, p-value, and a conclusion. Make sure that you use appropriate terminology, specify whether you are using the classical method or the p-value method, and fully explain your solution.

 

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