Question

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 equals 1038 and x equals 567 who said "yes." Use a 95 % confidence level. LOADING... Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. nothing (Round to three decimal places as needed.) b) Identify the value of the margin of error E. Eequals nothing (Round to three decimal places as needed.) c) Construct the confidence interval. nothingless than p less than nothing (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. B. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. C. 95% of sample proportions will fall between the lower bound and the upper bound. D. One has 95% confidence that the sample proportion is equal to the population proportion. Click to select your answer(s).

Answer #1

Given that, n = 1038 and x = 567

=> Sample proportion = 567/1038 = 0.546

a) The best point estimate of the population proportion p is
**0.546**

b) A 95% confidence level has significance level of 0.05 and critical value is,

We want to find the margin of error (E),

=> Margin of error = E = **0.030**

c) The 95% confidence interval for p is,

0.546 - 0.030 < p < 0.546 + 0.030

**0.516 < p < 0.576**

d) One has 95% confidence that the interval from the lower bound = 0.516 to the upper bound = 0.576 actually does contain the true value of the population proportion.

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?b) Identify the...

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