RESEARCH METHODOLOGY

METHODS OF DATA ANALYSIS

DECISION MAKING WITH HYPOTHESIS TESTING

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?
A
Reject the null hypothesis
B
Reject the alternative hypothesis
C
Fail to reject the null hypothesis
D
Fail to reject the alternative hypothesis
Explanation: 

Detailed explanation-1: -P > 0.05 is the probability that the null hypothesis is true. 1 minus the P value is the probability that the alternative hypothesis is true. A statistically significant test result (P ≤ 0.05) means that the test hypothesis is false or should be rejected. A P value greater than 0.05 means that no effect was observed.

Detailed explanation-2: -If the p-value is less than 0.05, we reject the null hypothesis that there’s no difference between the means and conclude that a significant difference does exist. If the p-value is larger than 0.05, we cannot conclude that a significant difference exists.

Detailed explanation-3: -A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. It indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null is correct (and the results are random). Therefore, we reject the null hypothesis and accept the alternative hypothesis.

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