Question

You are looking for a way to incentivize the sales reps that you are in charge of. You design an incentive plan as a way to help increase in their sales. To evaluate this innovative plan, you take a random sample of your reps, and their weekly incomes before and after the plan were recorded. You calculate the difference in income as (after incentive plan - before incentive plan). You perform a paired samples t-test with the following hypotheses: Null Hypothesis: μ_D≤ 0, Alternative Hypothesis: μ_D > 0. You calculate a p-value of 0.907. What is the appropriate conclusion of your test?

Question 13 options:

1)	We did not find enough evidence to say the average difference in weekly income was not 0. The incentive plan does not appear to have been effective.

2)	We did not find enough evidence to say there was a significantly positive average difference in weekly income. The incentive plan does not appear to have been effective.

3)	The average difference in weekly income is less than or equal to 0.

4)	We did not find enough evidence to say there was a significantly negative average difference in weekly income. The incentive plan does not appear to have been effective.

5)	The average difference in weekly income is significantly larger than 0. The average weekly income was higher after the incentive plan.

Question 14 (1 point)

A student at a university wants to determine if the proportion of students that use iPhones is less than 0.44. If the student conducts a hypothesis test, what will the null and alternative hypotheses be?

Question 14 options:

1)	HO: p = 0.44 HA: p ≠ 0.44

2)	HO: p ≤ 0.44 HA: p > 0.44

3)	HO: p ≥ 0.44 HA: p < 0.44

4)	HO: p > 0.44 HA: p ≤ 0.44

5)	HO: p < 0.44 HA: p ≥ 0.44

Question 15 (1 point)

Consumers Energy states that the average electric bill across the state is $42.22. You want to test the claim that the average bill amount is actually less than $42.22. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 42.22, Alternative Hypothesis: μ < 42.22. If the true statewide average bill is $30.44 and the null hypothesis is rejected, did a type I, type II, or no error occur?

Question 15 options:

1)	Type I Error has occurred.

2)	Type II Error has occurred

3)	No error has occurred.

4)	We do not know the degrees of freedom, so we cannot determine if an error has occurred.

5)	We do not know the p-value, so we cannot determine if an error has occurred.

Answer 1

13)

The null and alternative hypothesis is

Null Hypothesis: μ_D≤ 0, Alternative Hypothesis: μ_D > 0.

P-value = 0.907

P-value > 0.05 we fail to reject null hypothesis.

2)	We did not find enough evidence to say there was a significantly positive average difference in weekly income. The incentive plan does not appear to have been effective.

14)

Claim: The proportion of students that use iPhones is less than 0.44.

The null and alternative hypothesis is

3)	HO: p ≥ 0.44 HA: p < 0.44

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