Question

In: Statistics and Probability

Assuming the test statistic is less than than the critical value, what is your conclusion? a....

  1. Assuming the test statistic is less than than the critical value, what is your conclusion?

    a.

    Reject the null hypothesis

    b.

    Reject the alternative hypothesis

    c.

    Fail to reject the null hypothesis

    d.

    Both b. and c. are correct

  1. Assuming we reject the null hypothesis in the test above above, what is your interpretation of this result?

    a.

    Tesla's new cars can travel further than their old cars.

    b.

    Tesla's old cars can travel further than their new cars.

    c.

    Tesla's new cars cannot travel as far as their old cars.

    d.

    There is no change in the distance cars can drive.

Solutions

Expert Solution

(1)

After Completing the calculation of test statistic; i.e calculated value. We compare the Calculated Value with the Critical value.

If Test Statistic is Less than or equal to Critical Value; We Accept at required Level of Significant ().

If Test Statistice is Greater than Critical Value; We Reject at required Level of Significant ()

In the Given Question the Concept is about " the test statistic is less than than the critical value, what is your conclusion?"

So We Reject the Null Hyptheis.

OPTION - (a)

************************************************

(2)

Since the We don't know what the Null Hypotheis is; we will proceed like this.

If the Null Hypothesis is

Tesla's new cars can travel further than their old cars.

If we assume that reject the null hypothesis in the test

Then we conclude that "Tesla's new cars cannot travel as far as their old cars"

NOTE: Whatever may the Null Hypothesis; If we Accept it, we will Write the Assumption as it is.

If we Reject Null Hypothesis; then we will Rewrite the Assumption is Opposite Case.

i.e if Jack is a Good boy.

If we Accepted ; we Write the Conclusion as it is "Jack is a Good Boy"

If we Reject ; we write the conlusion as " Jack is a not a good boy".

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