For your initial post, choose one of the following two prompts to respond to. reply two classmates follow up posts below, 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.
Classmate 1
This week I investigated the proportion of adults in the United States who would like the newly renamed Washington Redskins to keep their nickname. According to a recent poll, 49% of adults would like to see the name remain / not changed. I think the proportion has decreased since than (early July).
To test my claim, I collected a sample of 2,202 people and found that 1,079 wanted the Washington Redskins to keep their name. My statistics is:
p = x/n = 1,079/2,202 = 0.49 (or 49%)
H0:p = 0.49
H1:p < 0.49
Using StatCrunch, I can test my hypothesis
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.49
HA : p < 0.49
Hypothesis test results:
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value
p 1079 2202 0.49000908 0.010653062 0.00085258603 0.5003
We were asked to test at the 0.05 level of significance therefore we would FAIL TO REJECT the hypothesis since the P value > level of significance.
Reference
https://morningconsult.com/2020/07/13/redskins-name-change-polling/
Classmate 2
I have decided to examine Option 1. I believe that that the population mean number of cups of coffee that adults drink a day is 2.0 cups. The data I collected was a random sample of 10 people. I will be testing this hypothesis at .05 significant rate.
1.0 1.5 0.0 2.0 2.5
1.5 3.0 2.0 1.0 2.0