Question

ch 18* the most important condition for sound conclusions from statistical inference is usually that
the population distribution is exactly normal.
the data can be thought of as a random sample from the population of interest.
the data contain no outliers.
question 4
1 pts
ch 18 the _________ of a test against a specific alternative is the probability that the test will reject ho at a chosen significance level α when the specified alternative value of the parameter is true.
correlation
power
confidence interval
significance

Explanation:

• For the first question: In statistical inference, having data that can be considered a random sample from the population of interest is crucial. While a normal population distribution (exact normality is often an idealization and not always necessary in practice, especially with the Central Limit Theorem for large samples) and no outliers (outliers can be dealt with through appropriate methods) are important, random sampling ensures representativeness. Representativeness is fundamental for generalizing results from the sample to the population.
• For the second question:
• Correlation measures the relationship between two variables, not related to the probability of rejecting \(H_0\) under an alternative.
• Power of a test is defined as the probability that the test will reject \(H_0\) at a chosen significance level \(\alpha\) when the specified alternative value of the parameter is true.
• Confidence interval is a range of values within which the population parameter is likely to lie, not related to the probability of rejecting \(H_0\) for a specific alternative.
• Significance (e.g., significance level \(\alpha\)) is the probability of rejecting \(H_0\) when it is true (Type - I error probability), not the probability of rejecting \(H_0\) when the alternative is true.

Answer:

• First question: the data can be thought of as a random sample from the population of interest.
• Second question: power.