1. We are focusing on the category of tax-payer referred to as A-class, and are interested...

1. We are focusing on the category of tax-payer referred to as A-class, and are interested in a simple random sample of a broader population of Ontario taxpayers (as per subquestions below). The sample size is 580 tax-payers. (a) (2 points) Here we focus on an Ontario wide sample (i.e., from the large population). Assume that 2.8 thousand in every 10 thousand Ontario tax-payers falls within the A-class category. Determine the probability of finding 290 or more A-class among this sample (justify any choices you make to arrive at your solution). (b) (2 points) Consider the neighborhood, Oxbrayne, with 1933 residents where 50 % fall in the A-class. Determine the probability of finding 290 or more A-class among this sample.

(Do question 2 pls)

2. Sticking with Oxbrayne as described above. Consider a sample size (with replacement)12 of 25 used to estimate the proportion of its residents falling into A-class.

(a) (1 point) what is the probability that an estimate of ˆp exactly coincides with the true proportion?

(b) (1 point) Now, what if the sample size was effectively infinite, and sampling was with replacement. What would your answer be now?

(c) (4 points) How would you describe ˆp given the original sample size of 25? Be sure to specify all that you are capable of specifying.

(d) (2 points) Calculate the probability that the ˆp estimate obtained in a sample would exceed a value of 59.1 %

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orchestra answered 1 year ago

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