Question
This exercise would help me to fimiliarize with the realtionship among levels of significance,p-values, and rejection decisions. I need to indicatewhether I would reject or fail to reject the nullhypothesis. I am lost. I not even know what to do help.. Level of significance p-value Decisionreject (ho) or fail to reject(HA) a. .001 .0007 b. .05 .0650 c. .01 .0009 d. .05 .0399 e. .001 .0110 d. .01 .0101 This exercise would help me to fimiliarize with the realtionship among levels of significance,p-values, and rejection decisions. I need to indicatewhether I would reject or fail to reject the nullhypothesis. I am lost. I not even know what to do help.. Level of significance p-value Decisionreject (ho) or fail to reject(HA) a. .001 .0007 b. .05 .0650 c. .01 .0009 d. .05 .0399 e. .001 .0110 d. .01 .0101
Explanation / Answer
We will reject the null hypothesis if p-value is smaller thanthe level of significance. a) Reject the null hypothesis, since p-value(=0.0007) is lessthan the level of significance(=0.001) b) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0650>0.05) c) Reject the null hypothesis, since p-value(=0.0097) is lessthan the level of significance(=0.01) d) Reject the null hypothesis, since p-value(=0.0399) is lessthan the level of significance(=0.05) e) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0110>0.001) f) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0101>0.01) Reject the null hypothesis, since p-value(=0.0097) is lessthan the level of significance(=0.01) d) Reject the null hypothesis, since p-value(=0.0399) is lessthan the level of significance(=0.05) e) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0110>0.001) f) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0101>0.01) Reject the null hypothesis, since p-value(=0.0399) is lessthan the level of significance(=0.05) e) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0110>0.001) f) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0101>0.01) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0110>0.001) f) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0101>0.01) Fail to reject the null hypothesis, since p-value is greaterthan the level of significance(0.0101>0.01)