•2) You wish to know if the distribution of preferences for cake, ice cream, or cookies differs across men and women. The null hypothesis is that these variables are independent; that is, the distribution is the same across men and women. You collect data from 60 Americans and find the following: Cake Ice Cream 10 •Men Women 10 12 15 Cookies 8 5 •Conduct a chi square test for independence and draw a conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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2) You wish to know if the distribution of preferences for cake, ice cream, or cookies differs across men and women. The null
hypothesis is that these variables are independent; that is, the distribution is the same across men and women. You collect data from
60 Americans and find the following:
Cake
Ice Cream
10
-Men
•Women
10
12
15
Cookies
8
5
•Conduct a chi square test for independence and draw a conclusion.
+3) Study and then define, give examples of, and write out notation for set, subset, union, intersection, sample space, event, and
complement of an event.
4) Consider a partition of the sample space representing possible states of reality (drug helps, null, drug hurts). You initially assume
that P(helps)=.45, P(null)=.10, P(hurts)=.45. You collect data and you find that P(data/helps)=.3, P(data null)= 2, and
P(data/hurts).1. Apply Bayes Rule to compute your updated probability that the drug helps.
Transcribed Image Text:2) You wish to know if the distribution of preferences for cake, ice cream, or cookies differs across men and women. The null hypothesis is that these variables are independent; that is, the distribution is the same across men and women. You collect data from 60 Americans and find the following: Cake Ice Cream 10 -Men •Women 10 12 15 Cookies 8 5 •Conduct a chi square test for independence and draw a conclusion. +3) Study and then define, give examples of, and write out notation for set, subset, union, intersection, sample space, event, and complement of an event. 4) Consider a partition of the sample space representing possible states of reality (drug helps, null, drug hurts). You initially assume that P(helps)=.45, P(null)=.10, P(hurts)=.45. You collect data and you find that P(data/helps)=.3, P(data null)= 2, and P(data/hurts).1. Apply Bayes Rule to compute your updated probability that the drug helps.
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