HW 16 - Exercises Not turned in

For each, think about:

What is (are) the population parameter(s) being tested?

What are the null and alternative hypotheses?

What assumption(s) are being made about the underlying distribution?

What is your sampling scheme, and any assumptions you make about the sampling?

Do you have to estimate any population parameters, and if so, which, using what?

What is the name of the statistic you will calculate?

How is it distributed? Be specific about whether it is exact or approximate.

Do you have to use degrees of freedom? If so, what do they equal?

Will this be a one-tail or a two-tail test?

What is your significance criterion?

What is (are) the criterion value(s) from the tables that you will compare the calculated value of your statistic?

What is the formula you will use to calculate your statistic? Do so.

Compare your calculated value to your criterion value(s). Does this value represent an outcome that could have happened by chance, or is it too extreme?

Is your decision to reject or retain?

What is your conclusion? Be as specific as possible.

Wherever it says to use a P-value, instead use criterion values for alpha = .05.

Exercises to do (Answers below)

10.80

10.79

10.83

10.88

10.92

10.95

Common to each:

What assumption(s) are being made about the underlying distribution?

Multivariate Bernoulli

Any assumptions you make about the sampling?

Random sampling

What is the name of the statistic you will calculate?

Chi-squared

How is it distributed? Be specific about whether it is exact or approximate.

Approximately chi-squared

Do you have to use degrees of freedom?

yes

Will this be a one-tail or a two-tail test?

One-tail

What is the formula you will use to calculate your statistic?

Answers

10.80

10.79

10.83

10.88

Excel sheet

10.92

10.95