You look into other studies and find two statistically significant result, one w

Question

You look into other studies and find two statistically significant result, one with a p value of 0.49 and the other with a p-value of .001. Do the p-values add any useful information beyond that conveyed by the statement that both results are statistically significant? P-value = 049 shows that it was very close to not rejecting the hypothesis .001 has a higher significance because it is far below .05. One study finds a statistically significant result with a sample size of 15,000 men. Explain why this results may not be practically important. During all angiogram. heart problems can be examined via a small tube (a catheter) threaded into the heart from a win in the patient's leg. It's important to maintain the diameter of the catheter at 2.00 mm. Every day, tile manufacturer performs a test to test H_o: mu = 2.00 against H_s: mu notequalto 2.00 at the o = .05 significance level. If they discover a problem, they stop manufacturing tile catheter until the problem is fixed. Explain in this context what-happens if the manufacturer commits a Type 1 error. The manufacturer reports that with a sample size of 50 catheters, the power to detect a difference of .02 aim is 50%. Explain what this means without using statistical terms. What and two things they could do to increase their power? Which do you think is the better way? Defend your choice.

Explanation / Answer

(c)

Power of a test shows the probability of rejecting the false null hypothesis.

That is it shows that if null hypothesis is deviate from the true catheter diamtere by 0.02 mm that test will detect it with 0.50 probability.

(d)

The way to improve the power of the test are:

Increasing the sample size

Increasing the level of significance

Increasing sample size is better way.

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