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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. 5. The scientist tested the following hypotheses. H0:β1=0 Ha:β1≠0 The scientist found a p-value of 0. 02 for the test. What is a correct conclusion about the scientist’s claim?

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ogorwyne

The null hypothesis is rejected given that there is not enough evidence to show that there is a linear relationship between flow rate and runoff factor.

How to test for the hypothesis in the question

H0: There is a linear relationship

H1: There is no linear relationship.

The level of significance is 0.05 we are to test this with the p value that was gotten from the data.

The rule is to do the following:

  • To reject the null hypothesis if the p value is less than the level of significance.
  • To accept the null hypothesis if the p value is greater than the level of significance.

0.02 is less than 0.05

0.02< 0.05, therefore we would have to reject the null hypothesis.

In conclusion, the null hypothesis is rejected, this shows that there is no sufficient evidence to show that there is a linear relationship between the flow rate and the run factor.

Read more on hypothesis here: https://brainly.com/question/606806

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