Use an F-statistic to compute a p-value for the null hypothesis
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Use an F-statistic to compute a p-value for the null hypothesis

Consider the following regression model


Data for the relevant variables are in this file. Estimate the model using the OLS method.

a. Use an F-statistic to compute a p-value for the null hypothesis H0 : beta3 = beta2

b. Using a significance level of 10%, do you reject the null hypothesis?

Show all your working. Your answer should include the relevant output for your estimated regression models and details of their derivation. Also, you should state the null and alternative hypotheses, the significance level, the formula for the test statistic, the PDF of the test statistic under the null hypothesis, the value of the test statistic, the critical value and your conclusion.

Hint
StatisticsThe null hypothesis is a type of hypothesis that is used in the statistics which proposes that no statistical significance exists in a set of given observations and also attempts to show that no variation exists between the variables or that a single variable is no different than its mean. It is also presumed to be true until statistical evidence nullifies it for an alternative hypothesi...

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