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3.59 What Proportion of College Students Change Their Major? Exercise 2.16 introduces a survey of 5204 first-year full-time college students in the US. The survey was administered at the end of the first year, and 35.6% of the students said that they had changed their choice of major over the course of the year. (a) Is the information given from a sample or a pop- ulation? (b) Is the 35.6% a parameter or a statistic? Give the correct notation. 2 C 20 279 Ос

3.59 What Proportion of College Students Change Their Major? Exercise 2.16 introduces a survey of 5204 first-year full-time college students in the US. The survey was administered at the end of the first year, and 35.6% of the students said that they had changed their choice of major over the course of the year. (a) Is the information given from a sample or a pop- ulation? (b) Is the 35.6% a parameter or a statistic? Give the correct notation. 2 C 20 279 Ос

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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Can you explain 3.59, part b and d?
**Transcription for Educational Website:** ### What Proportion of College Students Change Their Major? **Exercise 2.16** presents a survey involving 5,204 first-year full-time college students in the United States. This survey was conducted at the end of the first year, and it was found that 35.6% of these students reported changing their choice of major during the year. **Questions:** (a) Is the information given from a sample or a population? (b) Is the 35.6% a parameter or a statistic? Provide the correct notation. *Note: This exercise examines the statistical representation by using the example of college students' decisions regarding their academic paths.*
Transcribed Image Text:**Transcription for Educational Website:** ### What Proportion of College Students Change Their Major? **Exercise 2.16** presents a survey involving 5,204 first-year full-time college students in the United States. This survey was conducted at the end of the first year, and it was found that 35.6% of these students reported changing their choice of major during the year. **Questions:** (a) Is the information given from a sample or a population? (b) Is the 35.6% a parameter or a statistic? Provide the correct notation. *Note: This exercise examines the statistical representation by using the example of college students' decisions regarding their academic paths.*
**Understanding and Interpreting Confidence Intervals** Page 243 of "Unlocking the Power of Data, 3rd Edition": --- (c) If we want to use this value to estimate a parameter, give notation and define the relevant parameter. (d) Give a 95% confidence interval for the quantity being estimated, if the standard error for the estimate is 0.007. --- **3.60 Do You Ever Feel Homesick?** According to a survey by the UCLA Higher Education Institute, 69 percent of the first-year college students in the sample reported feeling homesick. If we use this sample to generalize to a population, the margin of error for the estimate is ±2%, using a 95% confidence level. (a) Is the 69 percent a parameter or statistic? Give the correct notation for the quantity. (b) Is the quantity we are estimating a parameter or a statistic? Give correct notation and clearly define it. (c) Use the margin of error to give a 95% confidence interval for the parameter. Interpret it in context. --- **Analysis:** This section provides practice questions on understanding confidence intervals. It addresses parameters and statistics, focusing on a specific survey about homesickness among first-year college students. The exercises require differentiation between parameters and statistics, as well as the calculation and interpretation of a confidence interval.
Transcribed Image Text:**Understanding and Interpreting Confidence Intervals** Page 243 of "Unlocking the Power of Data, 3rd Edition": --- (c) If we want to use this value to estimate a parameter, give notation and define the relevant parameter. (d) Give a 95% confidence interval for the quantity being estimated, if the standard error for the estimate is 0.007. --- **3.60 Do You Ever Feel Homesick?** According to a survey by the UCLA Higher Education Institute, 69 percent of the first-year college students in the sample reported feeling homesick. If we use this sample to generalize to a population, the margin of error for the estimate is ±2%, using a 95% confidence level. (a) Is the 69 percent a parameter or statistic? Give the correct notation for the quantity. (b) Is the quantity we are estimating a parameter or a statistic? Give correct notation and clearly define it. (c) Use the margin of error to give a 95% confidence interval for the parameter. Interpret it in context. --- **Analysis:** This section provides practice questions on understanding confidence intervals. It addresses parameters and statistics, focusing on a specific survey about homesickness among first-year college students. The exercises require differentiation between parameters and statistics, as well as the calculation and interpretation of a confidence interval.
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