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d) If you hadn't already taken the sample listed above, what sample size would be required so that the width of the 99% confidence interval would be at most 0.02 units wide? Be as conservative as possible with your answer!

d) If you hadn't already taken the sample listed above, what sample size would be required so that the width of the 99% confidence interval would be at most 0.02 units wide? Be as conservative as possible with your answer!

MATLAB: An Introduction with Applications
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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Please find d. The answer for it is not 2173

**Estimating the Proportion of Firefox Users** A web-based software company is conducting research to estimate the proportion of individuals who use the Firefox browser. In a survey of 200 participants, 31 individuals reported using Firefox. Based on this data, a 99% confidence interval is constructed for the proportion of all individuals who use Firefox. **Questions and Answers:** **a) Lower Limit of the 99% Confidence Interval:** - What is the lower limit on the 99% confidence interval? Provide your answer to three decimal places. - **Answer:** 0.089 **b) Upper Limit of the 99% Confidence Interval:** - What is the upper limit on the 99% confidence interval? Provide your answer to three decimal places. - **Answer:** 0.221 **c) Evaluating Google's Claim:** - Google claims that 20% (0.2) of all individuals use Firefox. Based on the confidence interval provided, is this claim reasonable? - **Options:** - Yes, because 0.2 is inside the interval. - No, because 0.2 is inside the interval. - Yes, because 0.2 is not inside the interval. - No, because 0.2 is not inside the interval. - **Selected Answer:** Yes, because 0.2 is inside the interval. **d) Estimating Required Sample Size:** - If the sample wasn't already taken, what sample size would be necessary for the width of the 99% confidence interval to be at most 0.02 units wide? Provide the most conservative estimate. - **Answer:** The provided input was incorrect, as indicated by the red cross. **Note:** This educational example illustrates how to calculate a confidence interval and assess whether a given claim about a population proportion is statistically supported. Confidence intervals are crucial in making informed decisions based on survey data.
Transcribed Image Text:**Estimating the Proportion of Firefox Users** A web-based software company is conducting research to estimate the proportion of individuals who use the Firefox browser. In a survey of 200 participants, 31 individuals reported using Firefox. Based on this data, a 99% confidence interval is constructed for the proportion of all individuals who use Firefox. **Questions and Answers:** **a) Lower Limit of the 99% Confidence Interval:** - What is the lower limit on the 99% confidence interval? Provide your answer to three decimal places. - **Answer:** 0.089 **b) Upper Limit of the 99% Confidence Interval:** - What is the upper limit on the 99% confidence interval? Provide your answer to three decimal places. - **Answer:** 0.221 **c) Evaluating Google's Claim:** - Google claims that 20% (0.2) of all individuals use Firefox. Based on the confidence interval provided, is this claim reasonable? - **Options:** - Yes, because 0.2 is inside the interval. - No, because 0.2 is inside the interval. - Yes, because 0.2 is not inside the interval. - No, because 0.2 is not inside the interval. - **Selected Answer:** Yes, because 0.2 is inside the interval. **d) Estimating Required Sample Size:** - If the sample wasn't already taken, what sample size would be necessary for the width of the 99% confidence interval to be at most 0.02 units wide? Provide the most conservative estimate. - **Answer:** The provided input was incorrect, as indicated by the red cross. **Note:** This educational example illustrates how to calculate a confidence interval and assess whether a given claim about a population proportion is statistically supported. Confidence intervals are crucial in making informed decisions based on survey data.
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