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At a game night, there were four choices of games and three choices of snacks. The table below showed how many people had each combination
At a game night, there were four choices of games and three choices of snacks. The table below showed how many people had each combination of favorite game and favorite snack. Test the hypothesis that the choice of game and choice of snack was independent.
Pizza Rolls | Chips and Dip | Cookies | Totals | |
Poker | 10 | 3 | 12 | 25 |
Trivial Pursuit | 8 | 14 | 7 | 29 |
Monopoly | 14 | 17 | 7 | 38 |
Wii Bowling | 12 | 7 | 4 | 23 |
Total | 44 | 41 | 30 | 115 |
a. Write the null and alternative hypotheses.
b. Find the values of Chi-squared, the degrees of freedom, and the p-value.
c. What can you conclude at the = .05 significance level? Justify your answer.
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