Chapter 10, Problem 17SE

Are Humans Like Random Number Generators? (Example 3) 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 552 for guidance.