Question

david wants to complete a hypothesis test with the least amount of probability for error. if he sets the significance level to 1%, assuming his sample is truly random, what else could he adjust in the test in order to reduce error?
he could change the population mean.
he could increase the sample size.
he could change the population standard deviation.
he could decrease the sample size.

Explanation:

To reduce error in a hypothesis test, we analyze each option:

• Changing the population mean (first option) is not something a researcher can adjust as it's a population parameter.
• Increasing the sample size (second option) reduces sampling error because larger samples are more representative of the population, leading to more accurate results.
• Changing the population standard deviation (third option) is not controllable by the researcher as it's a population characteristic.
• Decreasing the sample size (fourth option) would increase error, not reduce it, as smaller samples are less representative.

Answer:

B. He could increase the sample size.