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2. .14 points MIntroStat67. E.069 My Notes Ask Your Te + In each of the followin

ID: 3335419 • Letter: 2

Question

2. .14 points MIntroStat67. E.069 My Notes Ask Your Te + In each of the following situations explain what is wrong and why (a) A researcher wants to test H0: X1 = X2 versus the two-sided alternative Ha. x1 * x2 O The alternative hypothesis Ha should indicate that X1 . O Hypotheses should involve 1 and 2 (population means) rather than X1 and X2 (sample means) The null hypothesis Ho should indicate that the two means are not equal The null hypothesis (but not the alternative hypothesis) should involve 1 and 2 (population means) rather than X1 and X2 (sample means) O This alternative hypothesis indicates a one-sided hypothesis instead of a two-sided hypothesis. (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. A two-sample method is not appropriate in this situation. O The samples are too large to be used for hypothesis testing O The samples are not independent; we would need to compare the 24 males to the 26 females. O The sample sizes are too different to be used for hypothesis testing; we would need to have more males in the sample O The samples are too small to be used for hypothesis testing (c) A two-sample t statistic gave a P-value of 0.93. From this we can reject the null hypothesis with 90% confidence. O A P-value of this size is impossible. O We need the P-value to be negative to reject Ho we can reject the null hypothesis, but with less than 90% confidence

Explanation / Answer

(a)

In hypotheses, population parameters must be used instead of sample statistics.

Answer: Second option

(b)

Answer: Third option

(c)

Since p-value is greater than 0.10 so we fail to reject the null hypothesis.

Answer: We need p-value to be small to reject the H0

(d)

Answer: First option