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Test the null hypothesis

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Suppose you have estimated a model that explains household food expenditures (in dollars) as a function of household income using 40 observations:
Coefficient Std. Error t-stat p-value
Intercept 83.41600 43.43106 1.9215 0.0622
Income 10.20964 2.093264 4.8774 0.0

a) Construct a 95% interval estimate for B1 and intercept.
b) Test the null hypothesis that the slope of coefficient B1 is zero, against the alternative that it is not, at the 5% level of significance without using the reported p-value. Show your work and what is your conclusion?
c) Test the null hypothesis that intercepts term B0 is zero, against the alternative that it is not, at 5% level of significance without using the reported p-value. Show your work and what is your conclusion?

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Suppose you have estimated a model that explains household food expenditures (in dollars) as a function of household income using 40 observations:
(please see the attached file)

a) Construct a 95% interval estimate for B1 and intercept.
Degrees of ...

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