Indicate below if the following statements are TRUE or FALSE 1. If a two-tailed
ID: 3050402 • Letter: I
Question
Indicate below if the following statements are TRUE or FALSE
1. If a two-tailed critical value is set at +/-1.96 and the value obtained by the test is -1.6 this test is determined to NOT be significant and we would fail to reject the null hypothesis
2. If a one-tailed critical value is set at +1.96 and the value obtained by the test is +2.2 this test is determined to be significant and we would reject the null hypothesis.
3. If a two-tailed alpha level is set at .05 and the value obtained from SPSS as the p-vlue is .20 this test is determined to be significant and we would reject the null hypothesis
4. If a two-tailed alpha level is set at .01 and the value obtained from SPSS as the p-value is .001 this test is determined to be significant and we would reject the null hypothesis.
Explanation / Answer
Ans:
Decision Rule:
When p-value>alpha or z<zcritical,we fail to reject null hypothesis and test in not significant.
When p-value<alpha or z>zcritical,we reject null hypothesis and test in significant.
1)True,as z=-1.6 does not lie in critical region i.e z<-1.96 or z>1.96,so we fail to reject null hypothesis.
2)True,as z=2.2>1.96,we reject null hypothesis and test in significant.
3)False,As,p-value=0.2>0.05,we fail to reject null hypothesis and test is not significant.
4)True,As,p-value=0.001<0.01,we reject null hypothesis and test is significant.