om/ultra/courses/_107093_1/cl/outline Al O Let's approach the proportionality of black or African-American inmates in Polk County Jail a little differently. Submit a post to this discussion with your answers and details to the following: 1. Use Google to find the percent of black or African-American people living in Polk County, IA. What percent did you find? In a perfect world, we would expect the same percent of black or African-American inmates in Polk County Jail. This percentage will source of your data. also serve as the value of p, the probability an inmate selected at random is black or African-American. Paste a link for the 2. Now go to the website of current inmates recorded by the Polk County Sheriff's Office. Select two separate days (preferably a b weekday and weekend) and perform a census of all inmates from those two days (cluster sampling). What were the days you selected (include date and day of the week)? How many total inmates occurred from the two days you selected? This number will also serve as your number of trials n. 3. Inspect the Details of each inmate from the two days you selected. How many were black or African-American? This number inmates). will also serve as a cutoff value for your random variable x (the number of black or African-American inmates from a sample of 4. Using your value of n (from step 2) and p (from step 1), calculate the expected (or mean) number of black or African-American inmates out of a total of n inmates. Recall that the mean equals n times p Han . p Also calculate the standard deviation number of black or African-American inmates out of a total of n inmates. Recall that the standard deviation equals the square root of n times p times 1 minus p. 5= Vn . p . ( 1 - p ) 5. What is the cutoff number of black or African-American inmates that would be considered significantly low (the mean minus 2 standard deviations or u - 20) OR significantly high (the mean plus 2 standard deviations or u + 20)? Did your own cluster sample have a significantly low or high number of black or African-American inmates? 6. Next, we are interested in calculating how much different x black or African-American inmates (from step 3) are from what we would expect (from step 4). a. If your value of x is less than or equal to the mean, calculate the binomial probability of x successes or less. b. If your value of x is greater than the mean, calculate the binomial probability of x successes or more. Complete only the part above that applies to your own value of x. For example, suppose you found p=.068 (step 1), sampled n=11 (step 2), and calculated a mean (step 4) of 0.75. If you counted x=3 (step 3) inmates that were black or African-American, then you would fall under case b from above. You would want to calculate the binomial probability of ED P(x 2 3) . I would recommend using StatCrunch to calculate this probability using the Binomial Calculator (select Stat > Calculators > Binomial within StatCrunch). Post a screenshot of the binomial calculator with your results. 6:23 PM Binomial Calculator 2/16/2023 21.F Mostly cloudy re to search