Each student in a class of 30 was randomly assigned one line of a random number

Question

Each student in a class of

30 was randomly assigned one line of a random number table. Each student then counted theodd-numbered digits in a 26-digit line. The even digits are 0, 2, 4, 6 and 8. a. On average, in the list of 26 digits, how many odd-numbered digits would each student find?b. If each student found a 90% confidence interval for the percentage of odd-numbered digits in the entire random number table, how many intervals (out of 30)

would you expect not to capture the population percentage of 50%?

a. On average each student would find______odd-numbered digits.

Explanation / Answer

a) As the number of odd digits is equal to the number of even digits, therefore on an average a student is expected to find 13 odd digits in the 26 digits random number line.

b) If each student construct a 90% confidence interval for the population proportion, then we expect 0.1*30 = 3 confidence intervals to not contain the true population proportion of 0.5 that is 50%

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