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 Agresti-Coull 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 Agresti-Coull 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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