Test Hypotheses About a Population Proportion
-It Is Desired to Test

question 114

Multiple Choice

Test Hypotheses about a Population Proportion
-It is desired to test $\mathrm { H } _ { 0 } : \mu = 45$ against $\mathrm { H } _ { 1 } : \mu < 45$ using $\alpha = 0.10$ . The population in question is uniformly distributed with a standard deviation of 15. A random sample of 49 will be drawn from this population. If $\mu$ is really equal to 40 , what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

• A) \(0.1469\)
• B) \(0.8531\)
• C) \(0.3531\)
• D) \(0.2938\)

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Definitions:

Gathering Information

The process of collecting data, facts, or insights from various sources for analysis, decision-making, or problem-solving.

Processing Information

The method by which individuals receive, interpret, and respond to information from their environment.

Deliberating

Engaging in careful consideration or discussion before making a decision.

Generation

A group of individuals born and living about the same time, especially considered as a category of people influenced by the same significant social and cultural events.