Question

An educator randomly assigns students to a program in which some will use new reading activities and others traditional teaching methods. At the​ end, both groups take a reading comprehension exam. Their scores are shown in the​ back-to-back stem-and-leaf display. Do these results suggest that the new activities are​ better? Test an appropriate hypothesis and state your conclusion. ​(Assume a significance level of alpha=0.05​.)

New Activities( )Control

( 1 ) 57

7 ( 2 ) 255

96443( 3 ) 00133347

9764331    ( 4 ) 456

2 ( 5 )

( 6 ) 6   

Test the null hypothesis at alpha=0.05 using the​ two-sample t-test. Let the new activities be sample 1 and the control group sample 2. Identify the null and alternative hypotheses.

Choose the correct answer below.

A. Upper H 0​: mu 1 minus mu 2 equals 0 Upper H Subscript Upper A​: mu 1 minus mu 2 not equals 0

B. Upper H 0​: mu 1 minus mu 2 equals 0 Upper H Subscript Upper A​: mu 1 minus mu 2 greater than 0

C. Upper H 0​: mu 1 minus mu 2 not equals 0 Upper H Subscript Upper A​: mu 1 minus mu 2 equals 0

D. Upper H 0​: mu 1 minus mu 2 equals 0 Upper H Subscript Upper A​: mu 1 minus mu 2 less than 0

Compute the​ t-statistic. t=?  ​(Round to three decimal places as​ needed.)

Find the​ P-value. The​ P-value is ?. ​(Type an integer or decimal rounded to four decimal places as​ needed.)

State the conclusion. Recall that alpha=0.05.

Choose the correct answer below.

A. Reject the null hypothesis. There is sufficient evidence that the new activities are better.

B. Reject the null hypothesis. There is not sufficient evidence that the new activities are better.

C. Fail to reject the null hypothesis. There is sufficient evidence that the new activities are better.

D. Fail to reject the null hypothesis. There is not sufficient evidence that the new activities are better.

Answer 1