Which of the following statements is true?

1. You cannot use a chi-squared goodness-of-fit test when there are only two possible outcomes for each trial in your experiment.
2. If the observed frequencies are all smaller than the expected frequencies in a goodness-of-fit test, the chi-squared test statistic will be at most zero.
3. None of the suggested answers are correct.
4. The only way the chi-squared test statistic can be at most zero is if the observed frequencies are all significantly less than the expected frequencies.
5. If there are only two categories, the chi-squared goodness-of-fit test is the same as thez-test forp, the population proportion without any conditions.

In order to test the validity of a multiple regression model involving 4 independent variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are ________ respectively.

1. 5 and 25
2. none of the suggested answers are correct
3. 5 and 24
4. 4 and 25
5. 4 and 20

In determining the sample size necessary to estimate a population proportion, which of the following information is not needed?

1. a preliminary estimate of the true population proportion P
2. the maximum margin of error that can be tolerated
3. whether or not the population is symmetrically distributed
4. the confidence level required
5. None of the suggested answers are correct

The probability distribution of all possible values of the sample meanis

1. gives the probabilities of various values ofthat exceed the population mean
2. the mean of all the sample means
3. None of the suggested answers are correct
4. the population mean since it is equal to the expected value of
5. the same as the distribution of the original population