Question

A researcher tests the claim that the coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average.

(3 pts) Write the null and alternative hypotheses. (3 pts)

If the researcher commits a Type I error, that means the researcher rejects the null hypothesis when the null hypothesis is true (i.e. the alternative hypothesis is false). Write the Type I error in context.

(3 pts) If the researcher commits a Type II error, that means the researcher fails to reject the null hypothesis when the null hypothesis is false (i.e. the alternative hypothesis is true). Write the Type II error in context. (3 pts) If α=0.0 and p-value = 0.017, write the conclusion in context.

Answer 1

A researcher tests the claim that the coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average.

The null hypothesis is

Ho:- The coronavirus can live on doorknobs not longer than on stainless steel water bottles, on average.

The alternative hypothesis:

Ha: The coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average.

a) If the researcher commits a Type I error, that means the researcher rejects the null hypothesis when the null hypothesis is true (i.e. the alternative hypothesis is false)

We conclude that the coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average. but actually The coronavirus can live on doorknobs not longer than on stainless steel water bottles, on average.

b )

If the researcher commits a Type II error, that means the researcher fails to reject the null hypothesis when the null hypothesis is false (i.e. the alternative hypothesis is true).

We conclude that the coronavirus can live on doorknobs not longer than on stainless steel water bottles, on average. but actually The coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average.

c)

If α=0.0 and p-value = 0.017, write the conclusion in context

Reject Ho if P-value < α

Here P-value = 0.017 > 0.0

So we fail to reject Ho

We may conclude that the data provide sufficient evidence to support the claim that the coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average.