A team of psychologists have developed an experimental treatment for a learning

Question

A team of psychologists have developed an experimental treatment for a learning disorder with the expectation that the treatment would enable recipients to score higher than before on a test of learning ability. To test the treatment, they randomly select a pool of 50 volunteers who have been diagnosed with the disorder and divide them into two groups, E1 and C1. The E1 group receives the experimental treatment in individual sessions, and the C1 group is allowed to watch television for the same time intervals. Complete the following. (2 points each) 1. State the null and alternative hypotheses in words. 2. State the null and alternative hypotheses in statistical symbols. 3. What statistical test would be appropriate to use? Explain the rationale for your answer. 4. Would the test be right-tailed, left-tailed or two-tailed? Explain the rationale for your answer. 5. Describe an outcome that would result in a Type II error. Explain the rationale for your answer.

Explanation / Answer

1. Null hypothesis: Test scores of E1 and C1 groups are same (Experimental treatment is not effective)

Alternative hypothesis: Test score of E1 > Test score of C1 (Experimental treatment is effective)

2. H0: Null hypothesis: muE1 = muC1

HA: muE1 > muC1

3, two sample Z test is apprropriate.

REASON: Saple size = n = 50 > 30 Large sample

4. Right tailed

REASON: Alternative hypothesis is "greater than form".

5. Type II Error: Incorrectly retaining a false null hypothesis.

Suppose, in reality, Treatment is effective & heance, Test score of E1 > Test score of C1. But, due to testing, we incorrectly conclude that the treatment is not effecive & Test score of E1 = Test score of C1. Type II is committed in this situation.

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