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Is my hypothesis correct & I\'m confused on whether I accept or reject the null

ID: 3130588 • Letter: I

Question

Is my hypothesis correct & I'm confused on whether I accept or reject the null hypothesis.

The p-value for the MPG is given as 0.0017, the p-value for the reliability is given as 0.2453 and the p-value for the variable safety is 0.00002.

State the hypotheses being tested

The independent variables do not have a statistically significant impact on the price of a car.

H0 : 1 = 2 = 3 = 0

The independent variables do have a statistically significant impact on the price of a car.

HA : At least one i 0 (for i = 1, 2, 3)

Also how would I write this hypothesis test out in notation format?

Null hypothesis: H0: A significant linear relationship does not exist between the dependent variable price of the car and the independent variables MPG, reliability and safety of the car.

Alternative hypothesis: Ha: A significant linear relationship exists between the dependent variable price of the car and the independent variables MPG, reliability and safety of the car.

Explanation / Answer

The p-value for the MPG is given as 0.0017, the p-value for the reliability is given as 0.2453 and the p-value for the variable safety is 0.00002.

State the hypotheses being tested

The independent variables do not have a statistically significant impact on the price of a car.

H0 : 1 = 2 = 3 = 0

The independent variables do have a statistically significant impact on the price of a car.

HA : At least one i 0 (for i = 1, 2, 3)

from above P values

all are significant except the reliability.

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