Part 1. A random SAMPLE of 100 young adults were asked whether they liked or disliked video games. Use the results reported in the Contingency Table to find the requested probabilities (rounded to the nearest tenth of a percent) and answer the questions: Gender and Opinion of Video Games Likes video games Dislikes video games No opinion ROW TOTALS Male 49 5 1 55 Female 23 16 6 45 COLUMN TOTALS 72 21 7 100 What is the probability that someone randomly selected from the sample a.... is male and dislikes video games? b.... is male or dislikes video games? c. ... likes video games? d.... likes video games given that the person is male? e.... is female? f.... has no opinion about video games? g. Are the events "likes video games" and "is male" independent in the sample? Explain. Part 2 (For HT credit): Test the hypothesis that the events "likes video games" and "is male" are independent in the POPULATION. Show ALL STEPS of the hypothesis and use a 1% level of significance. In order to avoid cells with very low expected values, use the following simplified data table:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Part 1 letters a-g

Launch Meeting - Zoom
X
purses/191939/quizzes/1457221/take
Part 1. A random SAMPLE of 100 young adults were asked whether they liked or disliked video games. Use the
results reported in the Contingency Table to find the requested probabilities (rounded to the nearest tenth of a
percent) and answer the questions:
Gender and Opinion of Video Games
Likes video games Dislikes video games No opinion ROW TOTALS
Male
49
5
1
55
Female
23
16
6
COLUMN TOTALS 72
7
100
What is the probability that someone randomly selected from the sample
a.... is male and dislikes video games?
b.... is male or dislikes video games?
c. ... likes video games?
d. ... likes video games given that the person is male?
e.... is female?
f.... has no opinion about video games?
g. Are the events "likes video games" and "is male" independent in the sample? Explain.
Part 2 (For HT credit):
Test the hypothesis that the events "likes video games" and "is male" are independent in the POPULATION. Show
ALL STEPS of the hypothesis and use a 1% level of significance. In order to avoid cells with very low expected
values, use the following simplified data table:
Simplified Table for Gender and Video Games
Likes video games Dislikes video games
a
f10
f4
f5
14 101
f2
+
f3
f6
hp
f7
f8
455
f9
▶II
3
f11
Transcribed Image Text:Launch Meeting - Zoom X purses/191939/quizzes/1457221/take Part 1. A random SAMPLE of 100 young adults were asked whether they liked or disliked video games. Use the results reported in the Contingency Table to find the requested probabilities (rounded to the nearest tenth of a percent) and answer the questions: Gender and Opinion of Video Games Likes video games Dislikes video games No opinion ROW TOTALS Male 49 5 1 55 Female 23 16 6 COLUMN TOTALS 72 7 100 What is the probability that someone randomly selected from the sample a.... is male and dislikes video games? b.... is male or dislikes video games? c. ... likes video games? d. ... likes video games given that the person is male? e.... is female? f.... has no opinion about video games? g. Are the events "likes video games" and "is male" independent in the sample? Explain. Part 2 (For HT credit): Test the hypothesis that the events "likes video games" and "is male" are independent in the POPULATION. Show ALL STEPS of the hypothesis and use a 1% level of significance. In order to avoid cells with very low expected values, use the following simplified data table: Simplified Table for Gender and Video Games Likes video games Dislikes video games a f10 f4 f5 14 101 f2 + f3 f6 hp f7 f8 455 f9 ▶II 3 f11
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