A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1079 and x=536 who said "yes". Use a 90% confidence level.

a)Find the best point estimate of the population p. ( round to three decimal places as needed)

b) Identify the value of the margin of error E. ( round to three decimal places as needed)

c) construct the confidence interval.

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(round to three decimal places as needed)

d) Write a statement that correctly interprets the confidence interval. choose the correct answer below.

a) 90% of sample proportions will fall between the lower bound and upper bound

b) there is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound

c) one has 90% confidence that the sample proportion is equal to the proportion

d) one has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion