Three marbles are selected from a base plate containing 5 red marbles and 3 green marbles. The number X, which represents the total of red marbles obtained in the selection, is noted. marbles are then placed back on the base plate and the experiment is repeated 112 times. The results obtained were:
|
x (# red marbles)
|
0
|
1
|
2
|
3
|
|
Frequency
|
1
|
31
|
55
|
25
|
Based on 112 observations in the table, will the hypergeometric distribution an appropriate model to represent these data? Solve the problem with you using a traditional method α of 0.05. In addition, calculate the p-value of the test.