Use the sample data and confidence level given below to complete parts (a) throu

Question

Use the sample data and confidence level given below to complete parts (a) through (d) A research institute poll asked respondents if they acted to annoy a bad driver. In the poll, n 2332, and x: 1000 who said that they honked Use a 95% confiden level. EEB 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) b) Identify the value of the margin of error E (Round to four decimal places as needed.) c) Construct the confidence interval Round to three decimal places as needed) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below A. O B. ° C. O D. 95% of sample proportions will fall between the lower bound and the upper bound. One has 95% confidence that the sample proportion is equal to the population proportion There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. One has 95% confidence that the interval from the lower bound to the upper bound actualy does contain the true value of the population proportion.

Explanation / Answer

Answer to the question is as follows:

1. Best point estimate is x/n = 1000/2332 = 0.4288

2. MOE = Z*sqrt(p^*p^'/n).

=0.02009

3 We know Z value for 95% CI is 1.96

CI is p^ +/- Z*sqrt(p^*p^'/n).

= .4288 +/- 1.96*sqrt(.4288*.5712/2332)

= .4087 to .4489

4. The correct interpretation is not about chance, its about confidence and it is about true population should be within the these confidence interval limits.

Hence, D is correct

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