1)Alpha is the probability of a type 1 error, the risk we are willing to take of
ID: 3179537 • Letter: 1
Question
1)Alpha is the probability of a type 1 error, the risk we are willing to take of rejecting H0 when it's true. The critical value(s) bound the reject region(s) with probability alpha. Pvalue is the probability of an equal or more extreme test statistic computed assuming H0 is true.
Mark the two Decision Rules for rejecting H0 that apply to this problem.
Test statistic > positive critical value of upper tail test
Test statistic < negative critical value of lower tail test
Test statistic falls outside interval (negative critical value of lower tail, positive critical value of upper tail) of two-tailed test.
pvalue <
2)The rules selected in question 3 indicate that
The evidence against H0 is significant. H0 is rejected
The evidence against H0 is not significant. H0 is not rejected
Explanation / Answer
First we have to find whether it is one tailed or two tailed.
If it is one tailed and the question arises whether it is left or right.
The question does not clearly mentions whether it is one tailed or two tailed so I am assuming it as two tailed.
In two tailed we reject Ho if the test statistic is below negative critical value or above positive critical value .
If we are considering p value reject Ho if p<alpha
Point 3 and point 4 is taken as decision rules.
The rule selected in the above question indicate that the evidence is significant against Ho . Ho is rejected
Option 1 is correct
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