Question

6. 1/2 points Previous Answers PriviteraStats3 17..019. My Notes Ask Your Teacher A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 39 preferred the Half Pint lager, 32 preferred the XXX lager, and 9 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences using a 0.05 level of significance. State the value of the test statistic. (Round your answer to two decimal places.) State the decision to retain or reject the null hypothesis. O Retain the null hypothesis. Reject the null hypothesis.

Answer 1

Given that 40% half pint, 40% 27, 201 dark night IP Halt pint 0.4 I observed | Expected obs- Expected lobs-Expect) - Expested 80104 = 32/39-32=7 7 13 2 = 1.53125 32 180*0-4 23232-3250 10/32 = 0 9 18080.2 = 16 9-16 = -7 /16 = 3-0625 39 150 xxx dark night 0.4 10.2 4.59375 اول زن .ها = df = -1 = 3-1 -2. che sgude critical value at af-2, test statistic = 4.59 2=0.05 = 5.991 Critical vake is greater than test stalistic, So retain the null hypothers!