Answered: 1. Construct a 99% confidence interval…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Online dating ~ In a recent representative sample of 700 US adults, 210 say they have used an online dating site.

1. Construct a 99% confidence interval for the actual proportion of US adults who say they have used an online dating site. Round your calculated values to 4 decimal places.

( , )

2. The standard error for a 99% confidence interval for this sample data is 0.0173. Which of the statements below is a correct interpretation of the standard error?

A. We can be 1.73% confident that our sample proportion is correctly calculated.
B. We have strong evidence that, on average, a new sample will give a sample proportion within 0.0173 of the lower and upper bounds of the confidence interval.
C. In repeated samples of the same size, we will expect, on average, the sample proportions to be within 0.0173 of the actual proportion of interest in this question.
D. We expect any sample proportion to be wrong approximately 1.73% of the time, on average.

3. Suppose you wanted to estimate the actual proportion of US adults who say they have used an online dating site at 99% confidence with a margin of error no more than 2.5% What is the minimum sample size you would need to accomplish this?

Use the sample information given above as a planning value for ?∗p∗ and round your ?∗z∗ value to three decimal places when calculating your answer. Give your answer as an integer.

?=n=

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