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STA 2023
Homework 8
Section 7739
Addendum
Name:
UFID:
Directions
: Complete the following questions. These questions are a substantial piece of Homework 8, so
don’t forget to do them! Remember, the
AgrestiCoull conﬁdence interval
is a conﬁdence interval formed by
adding 2 observations to the number of “successes” and 2 observations to the number of “failures”.
1. (a) A researcher is interested in estimating the true proportion of Chinese students in a particular
large class. To that end, she asks 20 random people taking the class the following question: Do
you consider yourself Chinese? She receives 18 “No” responses, 1 “Yes” response, and 1 “Half”
response.
i. Can we use the usual conﬁdence interval technique that we learned to estimate the true
proportion of Chinese students in the class? Explain.
ii. Can we use the AgrestiCoull conﬁdence interval to estimate the true proportion of Chinese
students in the class? Explain.
(b) Irrespective of your answers above, the researcher decides to discard the “Half” response, leaving
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 Spring '08
 Ripol
 Statistics

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