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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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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