a)
To explain result.
a)
Explanation of Solution
Given:
Austin says that a result that is significant at the a = 0.05 level must also be significant at the a = 0.01 level.
First need to know decision rule:
If the p-value =a then reject null hypothesis and result is significant
Therefore, it is not necessary that the result that is significant at the a = 0.05 level must also be significant at the a = 0.01 level.
For example, if p-value = 0.0345
If a = 0.05 then p = 0.0345<0.05, the result is significant.
If a = 0.01 then p = 0.0345>0.01, the result is insignificant.
Hence, given statement is incorrect.
b)
To explain result.
b)
Explanation of Solution
Given:
Asked to explain the meaning of "statistically significant at the a = 0.05 level," Carla says: "This means that the probability that the null hypothesis is true is less than 0.05
First need to know decision rule:
If the p-value =a then reject null hypothesis and result is significant
P-value is capable to determine the probability that the null hypothesis is false. Therefore, the statistically significant at the a = 0.05 level. That means that the probability that the null hypothesis is false is less than 0.05. Hence, given statement is incorrect.
Chapter 9 Solutions
Statistics Through Applications
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Elementary Statistics (13th Edition)
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