Question
Download Solution PDFThe null hypothesis looks plausible for which of the following p - values of a test of significance ?
A. 43%
B. 0.27
C. 3%
D. 0.43 of 1%
Choose the correct answer from the options given below:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is A and B only Important Points
In hypothesis testing, the null hypothesis (H0) represents the assumption of no significant difference or no effect. The p-value is the probability of obtaining the observed results (or more extreme) under the assumption that the null hypothesis is true.
For a p-value to make the null hypothesis look plausible:
A. 43% - This p-value is relatively high (43%) and suggests that there is a substantial probability of obtaining the observed results if the null hypothesis is true. So, it makes the null hypothesis look plausible.
B. 0.27 - This p-value is also relatively high (27%) and suggests a considerable probability of obtaining the observed results under the null hypothesis, making it look plausible.
C. 3% - This p-value is lower than the previous two options but still not extremely small. While it provides some evidence against the null hypothesis, it does not necessarily make it implausible.
D. 0.43 or 1% - These p-values are very small (less than 5%) and suggest that the observed results are unlikely to occur if the null hypothesis is true. As a result, they would make the null hypothesis less plausible.
So, the correct answer is: A. 43%, and B. 0.27.
Last updated on Jun 6, 2025
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