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Question Set 1: NY State Residency by Campus Researchers are comparing the proportion of University Park (UP) students who are NY residents to the proportion

Question Set 1: NY State Residency by Campus

Researchers are comparing the proportion of University Park (UP) students who are NY residents to the proportion of World Campus (WC) students who are NY residents. Data from a random sample are presented in the contingency table below:

Primary Campus
University Park World Campus
NY resident? Yes 94 60
No 86 89

First, you will compute a confidence interval. Then, you will conduct a hypothesis test.

Question Set 1_A:

Check assumptions for a confidence interval for two proportions. Specifically, we can use the normal approximation if there are at least 10 "successes" (i.e. Yes's) and 10 "failures" (i.e. No's) in each group (UP and WC): i. Simply provide the counts shown in the table above: _____, _____, _____, _____ ii. Are all 4 counts above at least 10? (Yes or No) _____

Question Set 1_B: https://app.minitab.com/

Use Minitab to construct a 95% confidence interval to estimate thedifferencebetween thepopulation proportion of all UP students who are NY residentsversus thepopulation proportion of all WC campus students who are NY residents:

Choose Stat > Basic Statistics > 2 Proportions Click the drop-down menu to select 'Summarized data' Enter the number of events (Yes's) and trials (Totals) provided above > OK To use the normal approximation, click Options and make sure Test method is set to 'Estimate the proportions separately' > OK

Question Set 1_C:

Interpret the confidence interval you computed above by completing the following sentence:

I am 95% confident that... (remember to include both the words "population" and "proportion.")

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