Use a t$-$test to test the claim about the population mean $$ at the given level of significance $$ using the given sample statistics. Assume the population is normally distributed. Claim: $26$;$=0\mathrm{.}01$ Sample statistics: $\stackrel{}{x}=21\mathrm{.}2,s=4\mathrm{.}8,n=10$

What are the null and alternative hypotheses? Choose the correct answer below.

A$.$

$H_0$:$26$

$H_a$:$>26$

c$.$

$H_0$:$=26$

$H_a$:$26$

B$.$

$H_0$:$26$

$H_a$:$<mn\; id="EditorElement\_129317">2</mn><mn\; id="EditorElement\_129318">6</mn>$

D$.$

$H_0$:$26$

$H_a$:$=26$

What is the value of the standardized test statistic?

The standardized test statistic is

$($Round to two decimal places as needed.$)$

What is the P$-$value of the test statistic?

P$-$value $=($Round to three decimal places as needed.$)$

Decide whether to reject or fail to reject the null hypothesis.

A$.$ Reject $H_0.$ There is not enough evidence to support the claim.

B$.$ Fail to reject $H_0.$ There is not enough evidence to support the claim.

C$.$ Reject $H_0.$ There is enough evidence to support the claim.

D$.$ Fail to reject $H_0.$ There is enough evidence to support the claim.