27 Oct According to the 2020 census conducted by the U.S. Census Bureau, 82.3% of all Fairfax County residents aged 25 or higher has obtained a high school degree or higher.
According to the 2020 census conducted by the U.S. Census Bureau, 82.3% of all Fairfax County residents aged 25 or higher has obtained a high school degree or higher. All work for this nvestigation will be completed in StatKey. a) Create a sampling distribution of 10,000 samples of sample size 12 for Fairfax County residents that have a high school degree or higher. In StatKey, from the main page, click on Proportion (to the right of sampling distribution). Now do the following: Edit Proportion – Enter 0.823 – Press Ok. Next to ‘Choose samples of size n’, enter 12 and then click ‘Generate 1000 Samples.’ Click ‘Generate 1000 Samples’ nine more times to obtain 10,000 samples. Copy your graph (i.e. provide a screenshot) into the solutions document. b) Describe the shape, center, and spread of the sampling distribution. Make sure to provide the values for center and spread in your description. c) Would it be appropriate to construct a 95% confidence interval with the information in 1(a) and 1(b)? Explain why. d) Now we will create a sample distribution of 10,000 samples of sample size 120. Next to ‘Choose samples of size n’, enter 120 and then click ‘Generate 1000 Samples.’ Click ‘Generate 1000 Samples’ nine more times to ob tain 10,000 samples. Copy your graph into the solutions document. e) Describe the shape, center, and spread of the sampling distribution. Make sure to provide the values for center and spread in your description. f) Compare the values of center and spread for the sampling distribution generated in part 1(e) to those values found in 1(b). Please use the actual values in your comparison. g) Would it be appropriate to construct a 95% confidence interval with the information in 1(d) and 1(e)? Explain why. h) Reset your plot and generate 100 samples. Once you do that, click the Confidence Intervals tab to the right of Data Tables (on the right side of the screen). Take a screenshot of the 100 confidence intervals and paste it into your solutions document. Compare the coverage percentage to 95% in a complete sentence.
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