In Exercises 1–4, use the following sequence of political part...

Question

In Exercises 1–4, use the following sequence of political party affiliations of recent presidents of the United States, where R represents Republican and D represents Democrat.

[Image]

Notation Identify the values of n1,n2 and G that would be used in the runs test for randomness.

Accepted Answer

Hello everyone. Let's take a look at this question together. In a study of customer purchase behavior at a retail store, transactions were recorded as either C for card payment or D for cash payment over a period of time. This sequence of transactions is given below where we know that the C's represent card payments and the D represents cash payments over this period of time. Identify the values of N1, N2, and G that would be used in the runs test for randomness. And here we have 4 answer choices containing different values for N1, N2 and G that we need to determine which of the following answer choices contains the correct values for each of the following variables that would be used in the runs test for randomness. So, in order to solve this question, we have to recall what we have learned about the runs test for randomness to determine the values of N1, N2, and G for our sequence of the card or cash payments over a period of time. And so looking at our sequence, we must first count our N1. And our N2, which our N1 will be represented by the number of Cs that appear in our sequence, which refers to the card payments, and our N2 will refer to the number of D's in our sequence, which are the cash payments. So looking at our sequence and counting the number of C's. For card payments, we can identify that there are 11 card payments, and counting the number of D's in our sequence, which are the number of cash payments, we can identify our sequence contains 9 D's. Therefore, the value for N1 is 11, and the value for N2 is 9. And now we must determine the value for the letter G, which is our number of runs, where we know that a run is a sequence of consecutive identical symbols, and so to determine the runs in our sequence, by looking at the sequence that we are provided, we can count the number of consecutive identical symbols, and we can identify. The following runs in our sequence, which assigning a number to each run, giving us the total number of runs in our sequence, we can identify that the number of runs is 12. Therefore, the value for G, which is the number of runs, is equal to 12. So we have an N1 of 11, and N2 of. and a G of 12, which looking at our answer choices, we can identify is answer choice C, as answer choice C contains the correct values for the sequence that would be used in the runs test for randomness. So answer choice C is the only correct answer choice. I hope you found this video to be helpful. Thank you and goodbye.

��app

In Exercises 1–4, use the following sequence of political party affiliations of recent presidents of the United States, where R represents Republican and D represents Democrat.

[Image]

Notation Identify the values of n1,n2 and G that would be used in the runs test for randomness.

Key Concepts

Runs Test

n1 and n2

G (Number of Runs)

Watch next

����app

In Exercises 1–4, use the following sequence of political party affiliations of recent presidents of the United States, where R represents Republican and D represents Democrat.[Image]Notation Identify the values of n1,n2 and G that would be used in the runs test for randomness.