Question

the following data was calculated during a study on remote work. now find the critical value(s) and sketch the rejection region in order to interpret the results for this hypothesis test: a start up technology company would like to test the claim that the average percent of employees who work from home is greater than 50 percent. significance level

Answer 1

By using null and alternative hypothesis we can say that reject $H_0$ because there is sufficient data to establish that the average percentage of employees who work from home is higher than 50%.

What is null and alternative hypothesis?

• A scientific process begins with the formulation of a hypothesis. It alludes to an assumption supported by logic and proof.
• The researcher investigates it through experiments and observations which subsequently yields information and predicts potential results. The hypothesis may be inductive, deductive, straightforward, alternative, or null.
• The alternative hypothesis provides an alternative to the null hypothesis, whereas the null hypothesis is the theory that will actually be investigated.

Here, the alternative and null hypothesis are:

$H_0:\µ=50\\H_a:\µ > 50$

The supplied table's t critical value is 2.467 with a degree of significance of 0.01 and a d.f. of 291-=28.

It is represented in the image attached with the solution.

We reject the null hypothesis because the test statistics (3.37) are higher than alpha (0.01).

Therefore, by using null and alternative hypothesis we can say that

reject $H_0$ because there is sufficient data to establish that the average percentage of employees who work from home is higher than 50%.

Learn more about null and alternative hypothesis here:

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