A large supermarket carries four qualities of ground beef.Customers are believed to purchase these four varieties withprobabilities of 0.13, 0.27, 0.14, and 0.46, respectively, from theleast to most expensive variety. A sample of 480 purchases resultedin sales of 48, 148, 74, and 210 of the respective qualities. Doesthis sample contradict the expected proportions? Use α =0.05.
(a) Find the test statistic. (Round your answer to two decimalplaces.)
(ii) Find the p-value. (Round your answer to four decimalplaces.)
A program for generating random numbers on a computer is to betested. The program is instructed to generate 100 single-digitintegers between 0 and 9. The frequencies of the observed integerswere as follows. At the 0.05 level of significance, is theresufficient reason to believe that the integers are not beinggenerated uniformly?
| Integer | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Frequency | 10 | 8 | 6 | 8 | 13 | 10 | 7 | 11 | 14 | 13 |
(a) Find the test statistic. (Round your answer to two decimalplaces.)
(ii) Find the p-value. (Round your answer to four decimalplaces.)
