For a particular die, the probability of rolling a 6 is claimed to be 0.40. Polly suspects that this probability is not 0.40. She will roll the die 20 times and let X X\,X be the number of sixes.
State suitable hypotheses.
Find the critical region for a two-tailed test at the 10% level of significance, using a probability of less than 0.05 in each tail.
Find the actual significance level of the test.
Polly obtains 11 sixes. Complete the test.