For a die, let $p\,$ be the probability of rolling a 6. Polly suspects that $p≠0.4p\ne0.4$ . The die will be rolled 20 times.

Find the probability of exactly five 6s under $p = 0.4$ .

State suitable hypotheses.

Find a two-tailed critical region for a 10% test, with the probability in each tail less than 0.05.

Find the actual significance level.

Polly obtains eleven 6s. State the conclusion.

For a die, let $p\,$ be the probability of rolling a 6. Polly suspects that $p≠0.4p\ne0.4$ . The die will be rolled 20 times.

Find the probability of exactly five 6s under $p = 0.4$ .

State suitable hypotheses.

Find a two-tailed critical region for a 10% test, with the probability in each tail less than 0.05.

Find the actual significance level.

Polly obtains eleven 6s. State the conclusion.

2 Statistics

2 Statistics Questions