answer questions 3 to 8 Explain the difference between the z-test for M using re

Question

answer questions 3 to 8

Explain the difference between the z-test for M using rejection region(s) and the c-test for mu using a P-value. In hypothesis testing, does using the critical value method or the P-value method affect your conclusion? Explain. In Exercises 3-8, the P-value for a hypothesis test shown. Use the P-value to decide whether to reject H_0 when level significance is (a) alpha = 0.01 (b) alpha = 0.05, and (c) alpha = 0.10 P = 0.0461 P = 0.0691 P = 0.1271 P = 0.0838 P = 0.0107 P = 0.0062

Explanation / Answer

If the p-value is less than or equal to the chosen significance level (), the test suggests that the observed data are inconsistent with the null hypothesis, so the null hypothesis must be rejected.

3)

P = 0.0461 > 0.01 but <0.05 and 0.1

So for alpha = 0.05 and 0.1 null hypothesis is rejected.

For alpha = 0.01, it is significant and fail to reject the null hypothesis.

4)

P = 0.0691 > 0.01 and 0.05 but < 0.1

So alpha = 0.1, Ho is rejected.

For alpha = 0.05 and 0.01, it is significant and fail to reject the null hypothesis.

5)

P =0.1271 >0.1, 0.05 and 0.01

So for all values of alpha, it is signiifcant and fail to reject the null hypothesis.

Similarly do the rest.

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