A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.15, 0.19, 0.11, and 0.55, respectively, from the least to most expensive variety. A sample of 515purchases resulted in sales of 47, 148, 70, and 250 of the respective qualities. Does this sample contradict the expected proportions? Use α = .05.
(a) Find the test statistic. (Give your answer correct to two
decimal places.)
(ii) Find the p-value. (Give your answer bounds
exactly.)
< p <
applying chi square goodness of fit test:
| relative | observed | Expected | residual | Chi square | |
| category | frequency | Oi | Ei=total*p | R2i=(Oi-Ei)/√Ei | R2i=(Oi-Ei)2/Ei |
| 1 | 0.150 | 47 | 77.25 | -3.44 | 11.845 |
| 2 | 0.190 | 148 | 97.85 | 5.07 | 25.703 |
| 3 | 0.110 | 70 | 56.65 | 1.77 | 3.146 |
| 4 | 0.550 | 250 | 283.25 | -1.98 | 3.903 |
| total | 1.000 | 515 | 515 | 44.597 |
from above:
a) test statistic X2 =44.60
b)
p value bound: 0.0000 < p value <0.001
A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four...
1A) A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.13, 0.16, 0.13, and 0.58, respectively, from the least to most expensive variety. A sample of 482 purchases resulted in sales of 46, 151, 88, and 197 of the respective qualities. Does this sample contradict the expected proportions? Use α = .05. (a) Find the test statistic. (Give your answer correct to two decimal places.) (b) Find the p-value....