what is the decision regarding the hypothesis that the slope is different from zero? assume the level of significance is 0.05. multiple choice fail to reject the null hypothesis. we conclude the slope is equal to zero. fail to reject the alternative hypothesis. we conclude the slope is not equal to zero. reject the null hypothesis. we conclude that the slope is not equal to zero. reject the alternative hypothesis. we conclude that the slope is equal to zero.



Answer :

The null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

If there is a significant linear relationship between the independent variable X and the dependent variable Y, the slope will not equal zero.

The null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

Formulate an Analysis Plan

The analysis plan describes how to use sample data to accept or reject the null hypothesis. The plan should specify the following elements.

Significance level. Often, researchers choose significance levels equal to 0.01, 0.05, or 0.10; but any value between 0 and 1 can be used.

Test method. Use a linear regression t-test (described in the next section) to determine whether the slope of the regression line differs significantly from zero.

Analyze Sample Data

Using sample data, find the standard error of the slope, the slope of the regression line, the degrees of freedom, the test statistic, and the P-value associated with the test statistic.

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