You are looking for a way to incentivize the sales reps that you are in charge o

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: mu_D = Alternative Hypothesis: mu_0 notequalto 0. You calculate a p-value of 0.1874. What is the appropriate conclusion of your test? The average difference in weekly income is significantly different from 0. There is a significant difference in weekly income due to the incentive plan. 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. 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. 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. The average difference in weekly income is equal to 0.

Explanation / Answer

option 4 is right

At any significance level , alpha = 0.01,0.05,0.10

we fail to reject null hypothesis as p value is greater than alpha.

we do not find any significant evidence to say that the average difference in weekly income was not 0. The incentive plan does not appear to have been effective.

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