Question 1: In 1965, a newspaper carried a story about a high school student who reported getting 9207 heads and 8743 tails in 17,950 coin tosses. Is this a significant discrepancy from the null hypothesis H0= 1/2.
Question 2: Jack Youden, a statistician at the National Bureau of Standards, contacted the student and asked him exactly how he performed the experiment. To save time the student tossed groups of five coins at a time, and a younger brother recorded the results, shown in the following table:
|
Number of Heads
|
Frequency
|
|
0
|
100
|
|
1
|
524
|
|
2
|
1080
|
|
3
|
1126
|
|
4
|
655
|
|
5
|
105
|
Are the data consistent at the 1% significance level with the hypothesis that all the coins are fair (p = 1/2)?