Question: You think that the proportion of people working from home full-time has changed in the last year. You would like to run a hypothesis test to check this claim.

1. Imagine you have a simple random sample. How many people total are in your sample? Note: This can be any integer between 1200 and 1500. Choose something interesting.
2. How many people in the sample work from home full-time this year? Note: This can be any integer between 500 and 600. Choose something interesting.
3. Use your information from parts (a) and (b) to test the claim that the proportion of people working from home full-time this year is different than last year’s proportion of 35%. Use alpha = 0.01 Use the step by step process as shown in the Chp. 9 homework. As a reminder, the process is:
   1. Write H ₀ and H ₁
   2. Find the critical value(s) and test statistic. Also, find the P-value if it’s a Z distribution.
   3. Provide a sketch and properly label it as Z, t or \[{{\chi }^{2}}\] with the critical value and test statistic also labeled on the sketch.
   4. Do you reject H ₀ ? Why or why not?
   5. Write the conclusion in full sentences.

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