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:
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:
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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