You wish to test the following claim (H

a

H

a

) at a significance level of

=

0.02

=

0.02

.

H

o

:

=

70.2

H

o

:

=

70.2

H

a

:

>

70.2

H

a

:

>

70.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen

=

25

n

=

25

with meanM

=

81.5

M

=

81.5

and a standard deviation ofS

D

=

17.7

S

D

=

17.7

.

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

The p-value is...

• less than (or equal to)
• greater than

This p-value leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 70.2.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 70.2.
• The sample data support the claim that the population mean is greater than 70.2.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 70.2.