A researcher found a 95 confidence internal for the average

_________ A researcher found a 95% confidence internal for the average age of UNT students. It does mean that there is a 95% change that the true population average has in the interval. ________ When constructing a hypothesis test, the statement that I prefer to be correct should be the null hypothesis, while the statement that I don\'t want to be correct should be the alternative hypothesis. _______ If A and B are disjoint, then P(A union B) = P(A) + P(B)-P(A)-P(B). ______ Whether I decide to retain or reject the null hypothesis. I can never be certain that I\'ve made the correct decision.

Solution

Solution1:

True

when we say we are 95% confident it contains the true population parameter.

A confidence level refers to the percentage of all possible samples that can be expected to include the true population parameter. For example, suppose all possible samples were selected from the same population, and a confidence interval were computed for each sample. A 95% confidence level implies that 95% of the confidence intervals would include the true population parameter..

Solution2:

True:

Alternative hypothesis is opposite of null hypothesis:

Ex:Ho:=5

Alternative hypothesis:

Ha:5

Here

Ho:i prefere to be correct

Ha: i prefer i wont be correct.

Solution3:

FALSE

two events are disjoint, then the probability of them both occurring at the same time is 0.

If two events are mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring.

Specific Addition Rule

Only valid when the events are mutually exclusive.

WHEN DISJOINT IT WILL BE

AND NOT

Solution4:

FALSE

here are four possible decision outcomes • two possible correct decisions • two possible mistakes

here are two ways to be correct and two ways to be wrong whenever we make a statistical decision