I can't get "b" a and c are correct Three separate random samples of students (one sample selected from each of three different colleges) were selected in order to estimate the population percentage of students at each college who are sophomores. Sample 1: 110 students were selected from among all those attending college number 1 and 30 of them were found to be sophomores. Sample 2: 65 students were selected from among all those attending college number 2 and 10 of them were found to be sophomores. Sample 3: The sample from college number 3 showed that 30% of students were sophomores with a margin of error of (plus or minus) 10%. (NOTE: You should only enter numbers in the blanks provided. For example, to enter "20%" you would type "20" in the blank.) (a) If sample 1 is used to estimate the population percentage of students at college number 1 who are sophomores, what is the margin of error? Enter the margin of error as a percentage rounded to one decimal place: percent. (b) If sample 2 is used to estimate the population percentage of students at college number 2 who are sophomores, what is the margin of error? Enter margin of error as a percentage rounded to one decimal place: percent. (c) If sample 3 is used to estimate the population percentage of students at college number 3 who are sophomores, then an interval that "almost certainly" contains the true population percentage is: percent to percent. (Enter lower-bound in first blank and upper-bound in second blank.)

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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I can't get "b"

a and c are correct

 

 

Three separate random samples of students (one sample selected from each of three different colleges) were selected in order to estimate the population percentage of students at each college who are sophomores.

Sample 1: 110 students were selected from among all those attending college number 1 and 30 of them were found to be sophomores.

Sample 2: 65 students were selected from among all those attending college number 2 and 10 of them were found to be sophomores.

Sample 3: The sample from college number 3 showed that 30% of students were sophomores with a margin of error of (plus or minus) 10%.

(NOTE: You should only enter numbers in the blanks provided. For example, to enter "20%" you would type "20" in the blank.)

(a) If sample 1 is used to estimate the population percentage of students at college number 1 who are sophomores, what is the margin of error?
    Enter the margin of error as a percentage rounded to one decimal place:    percent.

(b) If sample 2 is used to estimate the population percentage of students at college number 2 who are sophomores, what is the margin of error?
    Enter margin of error as a percentage rounded to one decimal place:    percent.

(c) If sample 3 is used to estimate the population percentage of students at college number 3 who are sophomores, then an interval that "almost certainly" contains the true population percentage is:    percent to  percent. (Enter lower-bound in first blank and upper-bound in second blank.)

Expert Solution
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In the test of hypothesis, the margin of error is a central concept . It is used to measure the confidence interval at a specific level of significance. The formula for computing the margin of error is

MOE=z×p1-pn

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