A Researcher Is Using a Random Numbers Table to Pick

question 46

Multiple Choice

A researcher is using a random numbers table to pick between two groups labeled X and Y. X is to be chosen with probability 5/7 and Y with probability 2/7. The researcher assigns the digits 1, 2, 3, 4, and 5 to X, and she assigns the digits 6 and 7 to Y. The remaining digits are neglected. The researcher uses this section of a random number table
6 8 5 1 7 4 4 0 4 0
What are the first and second choices?

• A) The first selection is X, and the second is X.
• B) The first selection is X, and the second is Y.
• C) The first selection is Y, and the second is X.
• D) The first selection is Y, and the second is Y.

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Definitions:

Letter Contracts

Preliminary written agreements outlining the terms between parties for goods or services, used before final contracts are signed.

Government

The governing body of a nation, state, or community which exercises authority and performs functions for the public welfare.

Pay-for-success Contracts

Agreements where governments or other commissioners agree to pay for social services only if measurable outcomes are achieved, shifting financial risk to investors.

Nonprofit Organization

A nonprofit organization is a type of entity that operates for charitable, educational, cultural, religious, or public service purposes, rather than for profit, and reinvests surplus revenues into the organization's mission.