Reference no: EM13858399

Problem: For a lottery to be successful, the public must have confidence in its fairness. One of the lotteries in a state is a pick-3 lottery, where 3 random digits are drawn each day. A fair game depends on every value (0 to 9) being equally likely at each of the three positions. If not, then someone detecting a pattern could take advantage of that and beat the lottery. To investigate the randomness, we'll look at the data collected over a 32-week period. Although the winning numbers look like three-digit numbers, in fact, each digit is a randomly drawn numeral. We have 654 random digits in all. Is each of the digits from 0 to 9 equally likely? A table of the frequencies is shown to the right. Complete parts a through e.

1. State the hypotheses

2. Test an appropriate hypothesis and state your results.

3. Compute the P-value for the test.