One of the authors collected data from a class to see whether humans made selections randomly, as a random number generator would. Each of 38 students had to pick an integer from one to five. The data are summarized in the table.

A true random number generator would create roughly equal numbers of all five integers. Do a goodness-of-fit analysis to test the hypothesis that humans are not like random number generators. Use a significance level of 0.05, and assume these data were from a random sample of students. See page 526 for guidance.

Integer Times Chosen:3 One Two Three Four Five 14