In a simple random sample of 300 college students, 35.0 percent stated that they intended to pursue an advanced degree. [Show Work] A. How many of the 300 college students sampled intend to pursue an advanced degree? B. To the 95 percent confidence level, find the confidence interval estimate, (to nearest tenth of a percent) of ALL college students who intend to pursue an advanced degree, Can we safely assume that less than 40.0% of all college students intend to pursue an advanced degree? C. If we wanted to reduce the margin of error to 4.0 percent, how big would our sample SIZE have to be (again, to the 95 percent confidence level)?

In a simple random sample of 300 college students, 35.0 percent stated that they intended to pursue an advanced degree. [Show Work] A. How many of the 300 college students sampled intend to pursue an advanced degree? B. To the 95 percent confidence level, find the confidence interval estimate, (to nearest tenth of a percent) of ALL college students who intend to pursue an advanced degree, Can we safely assume that less than 40.0% of all college students intend to pursue an advanced degree? C. If we wanted to reduce the margin of error to 4.0 percent, how big would our sample SIZE have to be (again, to the 95 percent confidence level)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

In a simple random sample of 300 college students, 35.0 percent stated that they intended to pursue an advanced degree.

[Show Work]

A. How many of the 300 college students sampled intend to pursue an advanced degree?

B. To the 95 percent confidence level, find the confidence interval estimate, (to nearest tenth of a percent) of ALL college students who intend to pursue an advanced degree, Can we safely assume that less than 40.0% of all college students intend to pursue an advanced degree?

C. If we wanted to reduce the margin of error to 4.0 percent, how big would our sample SIZE have to be (again, to the 95 percent confidence level)?

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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