A recruitment firm subjects candidates to interviews by three different executives and then seeks to obtain a consensus evaluation for each candidate. Each executive gives the candidate a positive or a negative rating. The interview results of 100 candidates are as given below:
Possible Positive Ratings from Three Interviews Number of Candidates Receiving Each of These Ratings
0 18
1 47
2 24
3 11
The recruitment manager feels that the interview process can be approximated by a binomial distribution with p = 0.40 (i.e. a 40% chance of any candidate receiving a positive rating on any one interview). Test this hypothesis at the .20 level of significance.