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) \(0.2938\)

---

Definitions:

Affordable Care Act

A comprehensive healthcare reform law enacted in 2010 aimed at increasing health insurance coverage and reducing healthcare costs.

Medicare Taxes

Taxes deducted from workers' paychecks to fund the Medicare program, which provides healthcare benefits to eligible elderly and disabled individuals.

Provision

A clause in a legal document or law that stipulates a particular requirement or action.

Unemployment Benefits

Financial payments provided by the government to individuals who are unemployed through no fault of their own and meet other eligibility requirements.