A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths(miles) to test the claim that the mean tornado length is greater than 2.7 miles. Use a 0.05 significance level. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

Assuming all conditions for conducting a hypothesis test aremet, what are the null and alternativehypotheses?

A.

H0: = 2.7miles

H1: >2.7 miles

B.

H0: =2.7 miles

H1: 2.7 miles

C.

H0: = 2.7 miles

H1: <2.7 miles

D.

H0: <2.7 miles

H1: =2.7 miles

Identify the test statistic.

____. (Round to two decimal places asneeded.)

Identify theP-value.

______. (Round to three decimal places asneeded.)

State the final conclusion that addresses the original claim.

Reject

Fail to reject

H0. There is

sufficient

not sufficient

evidence to support the claim that the mean tornado length is greater than 2.7 miles