A Social Agency Is Charged with Providing Services to Three

question 53

Multiple Choice

A social agency is charged with providing services to three types of clients, A, B, and C. A total of 450 clients are to be served, with $140,000 available for counseling and $100,000 available for emergency food and shelter. Type A clients require an average of $200 for counseling and $300 for emergencies, type B clients require an average of $500 for counseling and $200 for emergencies, and type C clients require an average of $300 for counseling and $100 for emergencies. How many of each type of client can be served? ​

• A) Substitution gives 40 type A clients, 300 type B clients, and 110 type C clients.
• B) Substitution gives 50 type A clients, 190 type B clients, and 210 type C clients.
• C) Substitution gives 210 type A clients, 130 type B clients, and 110 type C clients.
• D) Substitution gives 190 type A clients, 50 type B clients, and 210 type C clients.
• E) Substitution gives 300 type A clients, 110 type B clients, and 40 type C clients.

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Definitions:

P-value

A statistical measure that indicates the probability of obtaining the observed results of a test, assuming that the null hypothesis is true.

Test Statistic

A statistic (a quantity derived from the sample) used in statistical testing to decide whether to reject the null hypothesis.

Type I Error

Occurs when a true null hypothesis is incorrectly rejected, often referred to as a "false positive."

Level of Significance

A statistical measure that indicates how likely it is that the results observed in your data occurred by chance.