1. Malcom Gladwell, in his book \"Outliers\", points out that Canadian boys born

Question

1. Malcom Gladwell, in his book "Outliers", points out that Canadian boys born early in the year have an advantage in being selected for elite hockey programs due to their larger size relative to their classmates. Here is data on the birthday of NHL players from 1980 to 1990. The players have been grouped according to the quarter (three months period) of the year in which they were born.

If an early birthday is no advantage, players would be equally likely to be born in any quarter.

To carry out Gladwell's claim, we carry out a goodness-of-fit test with H0: the distribution of birthdays in quarters is uniform. What is the alternate hypothesis?

Ha: p1 = p2 = p3 = p4

Ha: p1 > p2 > p3 > p4

Ha: the distribution is not uniformly distrbuted

Ha: Malcom Gladwell is wrong

Question 2

To test a die to see if it is fair, we roll it 30 times. Here are the results:

The expected number for the face "2" is 5. That is the chi-square contribution for the face "2"?

Ww

4

0.57

0.80

0.2

Explanation / Answer

as the claim is that the canadian boys born early in the year has an advantage in selection then obviously we should see more selection in the 1st quarter as compared to other quarters

Hence there would not be a uniform distribution

Here the null hypothsis is
H0 : the distribution is uniform
H1 : the distrubtion is not uniform , hence choice c

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