question archive (2) Suppose we conducted the hypothesis test for the true slope of the regression line at the 5% level of significance
Subject:EconomicsPrice:2.86 Bought3
(2) Suppose we conducted the hypothesis test for the true slope of the regression line at the 5% level of significance. Our p value has been determined to be 0.0002 (two - tailed).
(a) We must reject the null hypothesis test at the 5% level of significance.
(b) We must reject the null hypothesis test at the 10% level of significance.
(c) We must reject the null hypothesis at the 1% level of significance.
(d) the conclusion inferred from the test indicates that the relationship between the two random variables appear to be independent. We must remove the independent factor from our model, no matter what our level of significance is set.
(e) Cannot be determined from the information given
(a) We must reject the null hypothesis test at the 5% level of significance.
Step-by-step explanation
Regression level significance 5%
P-value determined , P-Value =0.0002
Null hypothesis is rejected when, P-value is less than the significance level for the test
When P-value <Significance level, Reject Null Hypothesis
Significance level 5%=5/100
=0.05
P-value determined=0.0002
0.0002<0.05, we therefore reject the Null Hypothesis.
For this particular study, the Null Hypothesis is rejected because the P-value is less than the significance level for the test. The findings are therefore statistically significant.