In: Statistics and Probability
Use 5% level of significance. At the fifth hockey game of the season at a certain arena, 200 people were selected at random and asked as to how many of the previous four games they had attended. The results are given in the table below.
| Number of games previously attended | Number of People | 
| 0 | 33 | 
| 1 | 67 | 
| 2 | 66 | 
| 3 | 15 | 
| 4 | 19 | 
Test the hypothesis that these 200 observed values can be regarded as a random sample from a binomial distribution,where ‘θ’ is the unknown parameter representing the probability of success that a person will attend a game.