In each of the following situations explain what is wrong and why. (a) A researc

Question

In each of the following situations explain what is wrong and why. (a) A researcher wants to test Ho: X2 versus the two-sided alternative Ha: x1. The alternative hypothesis H, should indicate that x1 z R2. The null hypothesis Ho should indicate that the two means are not equal. mis alternative hypothesis indicates a one-sided hypothesis instead of a two-sided hypothesis. The null hypothesis (but not the alternative hypothesis) should involve and (population means) rather than and 2 (sample means). Hypotheses should involve H1 and R2 (population means) rather than and (sample means). (b) A study recorded the IQ scores of 50 college freshmen. The scores of the 24 males in the study were compared with the scores of all 50 freshmen using the two sample methods of this section. The samples are too large to be used for hypothesis testing. o The samples are too small to be used for Nypothesis testing. A two-sample method is not appropriate in this situation, The samples are not independent we would need to compare the 24 males to the 26 females 0 The sample sizes are too different te be uled for hypothesis testing we would need to have imore males in the sample (c) A two-sample t statistic gave a P value of 0.9x rrom this we can reject the null hypothesis with 90% confidence. we can reject the mul hypothesis, but with less than 90m corvidence we need the P-value to be negative to reject Ho we need the P-value to be small to reject Ha- we can reject the auli hypothesis. but with more than 90% confidence. A P value of this size is impossible.

Explanation / Answer

(a)

1. incorrect since it’s 2 sided test

2. correct

3. incorrect since it’s 2 sided test

4. incorrect, since both hypothesis should involve mu’s only

5. correct

(b)

1. incorrect, sufficient sample size

2. incorrect, sufficient sample size

3. incorrect, we can use 2-sample t-test

4. incorrect, they are independent

5. incorrect, sufficient sample size

(c )

1. incorrect, p-value has to be less than <alpha (confidence level)

2. incorrect, p-value can never be negative

3. correct

4. correct

5. incorrect, possible

(d)

1. incorrect, since the test is one sides

2. incorrect, in alternate, equal sign cant exist

3. incorrect , can be used

4. correct

5. incorrect, doesn’t support H0

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