A scientist claims that there is a linear relationship between a lake’s flow rate and its runoff factor. The scientist collected data and used the data to test the claim that there is a linear relationship at a significance level of α=0.05α=0.05. The scientist tested the following hypotheses. H0: β1=0 Ha: β1≠0 The scientist found a p-value of 0.02 for the test. Which of the following is a correct conclusion about the scientist’s claim? A. The null hypothesis is rejected since 0.02<0.05. There is sufficient statistical evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor. B. The null hypothesis is not rejected since 0.02<0.05. There is sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor. C. The null hypothesis is rejected since 0.02<0.05. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor. D. The null hypothesis is not rejected since 0.02<0.05. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor. E. The null hypothesis is accepted since 0.02<0.05. There is sufficient evidence to suggest that there is not a linear relationship between a lake’s flow rate and runoff factor.
A scientist claims that there is a linear relationship between a lake’s flow rate and its runoff factor. The scientist collected data and used the data to test the claim that there is a linear relationship at a significance level of α=0.05α=0.05. The scientist tested the following hypotheses.
H0: β1=0
Ha: β1≠0
The scientist found a p-value of 0.02 for the test. Which of the following is a correct conclusion about the scientist’s claim?
A. The null hypothesis is rejected since 0.02<0.05. There is sufficient statistical evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor.
B. The null hypothesis is not rejected since 0.02<0.05. There is sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor.
C. The null hypothesis is rejected since 0.02<0.05. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor.
D. The null hypothesis is not rejected since 0.02<0.05. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s flow rate and runoff factor.
E. The null hypothesis is accepted since 0.02<0.05. There is sufficient evidence to suggest that there is not a linear relationship between a lake’s flow rate and runoff factor.
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