Statistics multiple choice questions

Questions 45 to 50 are based on the following: A large electronics company is interested in testing whether there is an association between type of material and whether the final product will crumble. The quality control manager tested three types of material by subjecting the material to extreme temperatures. He then checked if the material crumbled or remained intact. The results are summarised in the table below: Material A Material B Material C Total Crumbled 41 27 22 90 Remained 79 53 78 210 intact Total 120 80 100 300 45. The probability that a randomly selected final product will crumble is (a) 0.300 (b) 0.400 (c) 0.429 (d) 0.456 46. The probability that the final product will crumble given that it was made from material C is (a) 0.073 (b) 0.220 (c) 0.244 (d) 0.300 47. Under the null hypothesis, the expected frequencies corresponding to a final product that was made of material A that crumbled is: (a) 36 (b) 40 (c) 60 (d) 3690 48. The chi-square value corresponding to a final product that was made of material B that remained intact is: (a) 56 (b) 3 (c) 0. 1698 (d) 0. 1607 49. In testing the hypothesis at the 5% level of significance, the critical value is equal to: (a) 5.991 (b) 7.815 C) 9.488 (d) 11.143 50. Given that the test statistic is equal to 4.575, the correct conclusion of this hypothesis test is: (a) Reject the null hypothesis. There is an association. (b) Do not reject the null hypothesis. There is an association (c) Do not reject the null hypothesis. There is no association (d) Reject the null hypothesis. There is no association