Question

1. Given: pˆ = 0.0975; n = 2400; α = 0.05

Test the hypothesis that the binomial parameter p is actually 10% at a 5% level of significance, using the attached template.
For Parts (f) and (g), assume the value of the test statistic to be 0.5 and that the P-value = 0.9, respectively, regardless of the values obtained.

1. State 1) the parameter of interest and 2) its point estimator symbolically.

1)

2)

b)   State the 1) null and 2) alternate hypotheses.

1)   

2)

3. Uniquely identify the appropriate test statistic that would be used for a hypothesis test. If additional assumptions are necessary, then list them. Briefly justify your selection.
4. Determine the critical value(s) and define the critical region using the test statistic identified above.
5. Compute the value of the test statistic.
6. Assume the value of the test statistic to be ___, regardless of the value obtained above.

Find the P-value (show setup and document work).

7. Assume the P-value = ___, regardless of the value obtained above (this value, although not arbitrary, is not based on the test statistic value provided above).

State and briefly justify your conclusion with respect to both the test statistic value and P-value, using the values provided.

Answer 1