This Question: 1 pt 16 of 25 (24 complete) This Test: 25 pts possi Use the sampl

Question

This Question: 1 pt 16 of 25 (24 complete) This Test: 25 pts possi 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-919 and x = 592 who said "yes." Use a 95% confidence level. 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. E-Q 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

Explanation / Answer

The statistical software output for this problem is:

One sample proportion confidence interval:
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:

Hence,

a) 0.644

b) Margin of error = 0.0310

c) 0.613 < p < 0.675

d) Option B is correct.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 592 919 0.64417845 0.015792885 0.61322497 0.67513194

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