4. The percentage of CSUN freshmen who graduate from CSUN within 6 years is 55%. www.csun.edu/counts/graduation-rates.php

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ant W
4. The percentage of CSUN freshmen who graduate from CSUN within 6 years is 55%.
www.csun.edu/counts/graduation-rates.php
a. Suppose that you get a random sample of 200 freshmen and construct a 95% confidence
interval for the proportion of all CSUN freshmen who graduate from college within 6 years.
The confidence interval is 55.8% to 60.2%. Did the confidence interval capture the
parameter?
You try again with a new sample. Will this interval contain the parameter?
YES
NO
PROBABLY
b. Suppose that you and 299 other statistics students each get a random sample of 200
CSUN freshmen and count the number who graduate from college within 6 years. Will all
300 of you get the same interval?
YES
NO
ALMOST CERTAINLY NOT
How
many
of the 300 different confidence intervals are expected to contain 55%?
ALL 300
95% of 300 = 285
55% of 300 = 165
%3D
%3D
5. One in three Californians is enrolled in Medi-Cal. Suppose that your class of 60 students
doesn't know this. Each student gets a random sample of 1000 Californians and finds the
proportion of them who are enrolled in Medi-Cal. Each student then constructs a 95%
confidence interval for the proportion of all Californians who are enrolled in Medi-Cal. How
many of the confidence intervals would you expect to capture the parameter of 1/3?
www.dhcs.ca.gov/dataandstats/statistics/Documents/Medi-Cal_Glance_Aug_2017_ADA.pdf
Transcribed Image Text:ant W 4. The percentage of CSUN freshmen who graduate from CSUN within 6 years is 55%. www.csun.edu/counts/graduation-rates.php a. Suppose that you get a random sample of 200 freshmen and construct a 95% confidence interval for the proportion of all CSUN freshmen who graduate from college within 6 years. The confidence interval is 55.8% to 60.2%. Did the confidence interval capture the parameter? You try again with a new sample. Will this interval contain the parameter? YES NO PROBABLY b. Suppose that you and 299 other statistics students each get a random sample of 200 CSUN freshmen and count the number who graduate from college within 6 years. Will all 300 of you get the same interval? YES NO ALMOST CERTAINLY NOT How many of the 300 different confidence intervals are expected to contain 55%? ALL 300 95% of 300 = 285 55% of 300 = 165 %3D %3D 5. One in three Californians is enrolled in Medi-Cal. Suppose that your class of 60 students doesn't know this. Each student gets a random sample of 1000 Californians and finds the proportion of them who are enrolled in Medi-Cal. Each student then constructs a 95% confidence interval for the proportion of all Californians who are enrolled in Medi-Cal. How many of the confidence intervals would you expect to capture the parameter of 1/3? www.dhcs.ca.gov/dataandstats/statistics/Documents/Medi-Cal_Glance_Aug_2017_ADA.pdf
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