Find the best point estimate of the population proportion p

Asked by admin @ in Mathematics viewed by 310 People

7.1.13 Question Help Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=992 and x = 570 who said 'yes." Use a 99% confidence level. B Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)​

Answered by admin @


Answer:

The Point estimate of the Population proportion  E = 0.039≅0.04

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 992

  and                                     x = 570

The Population proportion

                                   p = \frac{x}{n} = \frac{570}{992} = 0.5745

Step(ii):-

The point estimate of the Population proportion is determined by

E = 2.576 \frac{\sqrt{0.574(1-0.574)} }{\sqrt{992} }

E = 0.039≅0.04

Final answer:-

The point estimate of the Population proportion  E = 0.039≅0.04


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