A UNSW survey of its computer science students reported that 63% of those students prefer java to python. Suppose that you select a sample of 100 UNSW computer science students. Consider the percentage students in the sample that prefer java. a. What is the probability that the sample percentage that prefer java will be between 59% and 72%? (Give your answer as a decimal rounded to four decimal places, not a percentage) b. Calculate the range, centred on the population percentage, in which there is a 70% probability that the sample percentage will be in that range. There is a 70% probability that the sample percentage that prefer java will be contained above % and below %. (Here, give your answer as a percentage rounded to one decimal place) c. Suppose you selected a sample of 400 students. How would this this change your answers in (a) through (c)? O A. Increasing the sample size increases the standard error, causing the value of the answer to (a) to decrease and the range in (b) to widen. O B. Increasing the sample size decreases the standard error, causing the value of the answer to (a) to increase and the range in (b) to narrow. O C. Increasing the sample size decreases the standard error, causing the value of the answer to (a) to decrease and the range in (b) to narrow. O D. Increasing the sample size increases the standard error, causing the value of the answer to (a) to increase and the range in (b) to widen.
A UNSW survey of its computer science students reported that 63% of those students prefer java to python. Suppose that you select a sample of 100 UNSW computer science students. Consider the percentage students in the sample that prefer java. a. What is the probability that the sample percentage that prefer java will be between 59% and 72%? (Give your answer as a decimal rounded to four decimal places, not a percentage) b. Calculate the range, centred on the population percentage, in which there is a 70% probability that the sample percentage will be in that range. There is a 70% probability that the sample percentage that prefer java will be contained above % and below %. (Here, give your answer as a percentage rounded to one decimal place) c. Suppose you selected a sample of 400 students. How would this this change your answers in (a) through (c)? O A. Increasing the sample size increases the standard error, causing the value of the answer to (a) to decrease and the range in (b) to widen. O B. Increasing the sample size decreases the standard error, causing the value of the answer to (a) to increase and the range in (b) to narrow. O C. Increasing the sample size decreases the standard error, causing the value of the answer to (a) to decrease and the range in (b) to narrow. O D. Increasing the sample size increases the standard error, causing the value of the answer to (a) to increase and the range in (b) to widen.
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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Transcribed Image Text:A UNSW survey of its computer science students reported that 63% of those students prefer java to python. Suppose that you select a sample of 100 UNSW computer science
students. Consider the percentage
students in the sample that prefer java.
a. What is the probability that the sample percentage that prefer java will be between 59% and 72%?|
(Give your answer as a decimal rounded to four decimal places, not a percentage)
b. Calculate the range, centred on the population percentage, in which there is a 70% probability that the sample percentage will be in that range.
There is a 70% probability that the sample percentage that prefer java will be contained above % and below %.
(Here, give your answer as a percentage rounded to one decimal place)
c. Suppose you selected a sample of 400 students. How would this this change your answers in (a) through (c)?
O A. Increasing the sample size increases the standard error, causing the value of the answer to (a) to decrease and the range in (b) to widen.
O B. Increasing the sample size decreases the standard error, causing the value of the answer to (a) to increase and the range in (b) to narrow.
O C. Increasing the sample size decreases the standard error, causing the value of the answer to (a) to decrease and the range in (b) to narrow.
O D. Increasing the sample size increases the standard error, causing the value of the answer to (a) to increase and the range in (b) to widen.
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