For Example 6.21 (page 329), we noted that the -value for testing the null hypothesis of is . Without calculation, we further noted that the -value is obviously much less than 0.001.
Just how small is the -value? Excel will actually report very small probabilities. Use the NORM.DIST function to find the probability.
Relate the extremely small probability found in part (a) to a friend with the small probability event of winning the multi-state Powerball lottery, which has probability of 1 in 175 million.