Chapter 7.1, Problem 7.15E

(a)

To determine

To Explain: that using table B to simulate the responses of 10 independently chosen adults in each of the four situations for line 110.

Explanation of Solution

Given:

Democrats are 50%

Republicans are 50%

50 percent are democrats and 50 percent are republicans or in other word, 5 out of 10 people would be democrats and 5 would be republicans

Democrats: Digits 0, 1, 2, 3, 4

Republicans: Digits 5, 6, 7, 8, 9

Choosing the first 10 digit in line 110 of table B

3, 8, 4, 4, 8, 4, 8, 7, 8, 9

It is observing that 4 digits (3, 4, 4, 4) represent democrats and remaining all 6 digits ( 8, 8, 8, 7, 8, 9 ) represent republicans

(b)

To determine

To Explain: that using table B to simulate the responses of 10 independently chosen adults in each of the four situations for line 111.

Explanation of Solution

Given:

Democrats are 60%

Republicans are 40%

60 percent are democrats and 50% percent are republicans or in other word, 6 out of 10 people would be democrats and 4 would be republicans

Democrats: Digits 0, 1, 2, 3, 4, 5

Republicans: Digits 6, 7, 8, 9

Choosing the first 10 digit in line 111 of table B

8, 1, 4, 8, 6, 6, 9, 4, 8, 7

It is observing that 3 digits represent democrats (1, 4, 4) and remaining all 7 digits (8, 8, 6, 6, 9, 8, 7) represent republicans

(c)

To determine

To Explain: that using table B to simulate the responses of 10 independently chosen adults in each of the four situations for line 112.

Explanation of Solution

Given:

Democrats are 40%

Republicans are 40%

Undecided are 20%

40 percent are democrats, 40 percent are republicans and 20 percent are undecided or in other word, 4 out of 10 people would be democrats, 4 would be republicans and 2 would be undecided.

Democrats: Digits 0, 1, 2, 3

Republicans: Digits 4, 5, 6, 7

Undecided: Digits 8, 9

Choosing the first 10 digit in line 112 of table B

5, 9, 6, 3, 6, 8, 8, 8, 0, 4

It is observing that 2 digits represent democrats (3, 0) and 4 digits represent republicans (5, 6, 6, and 4) and 4 digits represent undecided (8, 8, 8, and 9)

(d)

To determine

To Explain: that using table B to simulate the responses of 10 independently chosen adults in each of the four situations for line 113.

Explanation of Solution

Given:

Democrats are 53%

Republicans are 47%

53 percent are democrats and 47 percent are republicans or in other word, 53 out of 100 people would be democrats, 47 would be republicans.

Democrats: Numbers 00 to 52

Republicans: Numbers 53 to 99

Choosing the first 10 digit in line 113 of table B

61, 04, 17, 76, 84, 94, 32, 22, 47, 09

It is observing that 5 digits represent democrats (04, 17, 32, 22, 47, and 09) and 4 digits represent republicans (61, 76, 84, and 94)