A study of a new mathematics teaching methodology testedstudents' ability to solve word problems. This table shows how students using the new method and the traditional method performed. What do you conclude? (Assume the conditions for inference are met. Assume a significance level of 0.05.)

Math Program N Mean SD

New : 318 57.4 31.8

Traditional : 279 53.5 28.7

Identify the null and alternative hypotheses. Choose the correct answer below.

A. H0: NT=0

HA: NT>0

B. H0: NT=0

HA: NT<0

C. H0: NT=0

HA: NT0

D. H0: NT0

HA: NT=0

Compute the test statistic.

t=

(Round to two decimal places as needed.)

Find the P-value.

The P-value is

(Round to three decimal places as needed.)

State the conclusion. Choose the correct answer below.

A. Fail to reject the null hypothesis. There is sufficient evidence that students taught using the new method have a different mean score on the word problems test than traditional students.

B. Reject the null hypothesis. There is not sufficient evidence that students taught using the new method have a different mean score on the word problems test than traditional students.

C. Reject the null hypothesis. There is sufficient evidence that students taught using the new method have a different mean score on the word problems test than traditional students.

D. Fail to reject the null hypothesis. There is not sufficient evidence that students taught using the new method have a different mean score on the word problems test than traditional students.