Question 6 to 12 based on the following information. A card-dealing machine deals spades (1), hearts (2), clubs (3), and diamonds (4) at random as if from an innite deck. In a randomness check, 1,600 cards were dealt and counted. The results are shown below. -_ _-_ 405 370 415 6) To test if the poker-dealing machine deals cards at random, the null and alternative hypotheses are _ A) H0: )9] = p2 = p3 = p4 = 0, H A: Not all population proportions are equal to 0,25 B) H0: p1 = p2 =p3 =p4 = 0.25, H A: Not all population proportions are equal to 0,25 C) H0: p1 = p2 =p3 =p4 = 1, H A: Not all population proportions are equal to 0,25 D) H0: P1 = p2 = p3 =p4 = 0.20, H A: Not all population proportions are equal to 0,20 7) For the goodness-oft test, the degrees of freedom are A) 2 B) 3 C) 4 D) 5 8) For the goodness-offit test, the value of the test statistic is A) 2.25 B) 3.125 C) 6.45 D) 7.815 9) The p-value is A) less than 0.01 B) between 0.0] and 0.05 C) between 0.05 and 0.10 D) greater than 0.10 10) Using the p-value approach and o. = 0.05, the decision and conclusion are A) do not reject the null hypothesis; all of the population proportions are the same B) reject the null hypothesis; conclude that not all proportions are equal to 0.20 C) reject the null hypothesis; conclude that not all proportions are equal to 0.25 D) do not reject the null hypothesis; we cannot conclude that not all of the proportions are equal to 0.25 11) At the 5% signicance level, the critical value is A) 6.251 B) 7.815 C) 9.348 D) 11.345 12) Using the critical value approach, the decision and conclusion are A) do not reject the null hypothesis; we cannot conclude that not all of the proportions are equal to 0. 25 B) do not reject the null hypothesis; all of the population proportions are the same C) reject the null hypothesis; conclude that not all proportions are equal to 0.25 D) reject the null hypothesis; conclude that not all proportions are equal to 0.20