Quiz: Chapter 7 Review Quiz Submit Quiz This Question: 1 pt 5 of 10 (0 complete)

Question

Quiz: Chapter 7 Review Quiz Submit Quiz This Question: 1 pt 5 of 10 (0 complete) This Quiz: 10 pts possible 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-335 and x = 535 who said yes Use a 90% 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.) b) Identify the value of the margin of error E Round to three decimal places as needed.) c) Construct the confidence interval spe Round to three decimal places as needed) d) Write a stament that correctly interprets the confidence interval. Choose the correct answer below 0 A, 90% of sample

Explanation / Answer

solution:-
given that x = 535 , n = 935
a) population proportion p = x / n = 535 / 935
= 0.572
b) margin of error E = z * sqrt((p * q)/n)
= 1.645 * sqrt((0.572 * 0.428)/935)
= 0.027
c) confidence interval formula = p^ +/- z * sqrt((p * q)/n)
=> 0.572 +/- 1.645 * sqrt((0.572 * 0.428)/935)
=> 0.572 +/- 0.027
=> (0.545 , 0.599)
  

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