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Please help me with this question and all of its parts Suppose there are equal proportions of cards of three colors Red, Blue, and Green

Please help me with this question and all of its parts

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Suppose there are equal proportions of cards of three colors Red, Blue, and Green in a large deck of cards. You shuffle the deck of cards and then select 12 cards at random from the deck of cards. Looking at the 12 cards you selected, you observed 6 are Red, 2 are Blue, and 4 are Green. a. Assuming there are equal proportions of cards of the three colors in the deck, how many cards among the 12 selected would you expect to be Red? Please round your answer to the nearest integer. Points possible: 3 b. You decide to perform a chi-squared goodness-of-fit test to determine if the sample of 12 cards provide evidence that the proportion of cards of the three colors is not equal. b1. What is the value of the test statistic? 8.0 O 0.0 12.0 4.0 O 2.0 Points possible: 3 b2. What degrees of freedom should be used to perform this test? Points possible: 3 b3. Is there sufficient evidence at the 0.05 significance level that the proportion of cards of each color in the deck is different? O Yes, there is statistically significant evidence that the proportion of cards in the deck is not evenly distributed among the three colors. 1 MAY tv MacBook Pro * LOPoints possible: 3 b. You decide to perform a chi-squared goodness-of-fit test to determine if the sample of 12 cards provide evidence that the proportion of cards of the three colors is not equal. b1. What is the value of the test statistic? 8.0 0.0 12.0 4.0 2.0 Points possible: 3 b2. What degrees of freedom should be used to perform this test? Points possible: 3 b3. Is there sufficient evidence at the 0.05 significance level that the proportion of cards of each color in the deck is different? Yes, there is statistically significant evidence that the proportion of cards in the deck is not evenly distributed among the three colors. No, there is not enough evidence to conclude that the proportion of cards in the deck differs among the three colors Points possible: 3 MAY OO atv Q N T UTA MacBook Pro 8 * #

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