Now, assume an assessment of the impact of the program on teachers\' productivit
ID: 3149986 • Letter: N
Question
Now, assume an assessment of the impact of the program on teachers' productivity was needed. Suppose the average score among all teachers on the productivity measure was p = 36. In the current randomly selected sample of 40 teachers, the average productivity score was 38.18. However, before a test to determine whether the program had a significant effect, there are a number of factors in need of consideration: a.) Select an appropriate alpha level. Explain this research decision (i. E., why specific value was selected) and its meaning. b.) What assumptions must be met for this test? c.) What are the two different types of errors made during a hypothesis test? How can the likelihood of each error occurring be minimized? d.) Once the statistical test has been conducted, under what conditions would the null hypothesis be rejected? How would it be determined if the null hypothesis should be rejected? e.) After conducting statistical tests, it is common practice to compute an effect size. Why is this value? Important?Explanation / Answer
a)
We choose alpha = 0.05 as the decision is not really that crucial. 0.05 here is the probability of making a type I error, or incorrectly conclusing that the program had a significant effect.
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b)
We assume that the sample is a random sample, and the observations are independent.
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c)
The 2 types are Type I and Type II errors. Type I error is incorrectly rejecting Ho. Type II error is incorrectly failing to reject Ho.
The likelihood of a type I error is reduced by choosing a lower alpha level. Likelihood of a type II error is reduced by increasing the sample size.
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d)
We reject Ho when the P value is less than alpha, or the test statistic is more extreme than the critical value.
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e)
It is important to determine whether the effect has any practical significance.
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