13 Suppose that we wish to test the hypotheses H0 12 versus

13. Suppose that we wish to test the hypotheses H0: ?= 12 versus Ha: ?> 12. If the statistic t=1.07 and the critical value t?, n-1= 1.73, identify the correct statistical decision.
A. Accept H1
B. Reject H0
C. Reject H1
D. Accept H0 (fail to reject H0)

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( i don\'t see an option to close it :x )! though if you would like to explain it in further detail that would be appreciated

Solution

if the calulated value ot t is less than the tabulated value (critical value of t) of t then the null hypothesis H₀is accepted(fail to reject H₀).

suppose the calulated value ot t is greater than the tabulated value (critical value of t) of t then the null hypothesis H₀is rejected.

from the above value the calculated value of t is 1.07 which is less than the tabulated value of t that is 1.73. hence accept the null hypothesis H₀.

answer D)