Consider the following hypothesis statement using alpha=0.10 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. H0: μ1−μ2≤8
x1=72.2
x2=56.4
H1: μ1−μ2>8
s1=17.5
s2=15.9
n1=20
n2=22
a. Calculate the appropriate test statistic and interpret the result. (Round to two decimal places as​ needed.)
The critical​ value(s) is(are) ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
Because the test statistic ▼ is less than the critical value, is greater than the critical value, falls within the critical values, does not fall within the critical values, ▼ reject do not reject the null hypothesis.
b. Identify the​ p-value from part a and interpret the result. The​ p-value is ​(Round to three decimal places as​ needed.)
Interpret the result. Choose the correct answer below.
A. Since the​ p-value is not less than the significance​ level, do not reject the null hypothesis.
B. Since the​ p-value is less than the significance​ level, do not reject the null hypothesis.
C. Since the​ p-value is not less than the significance​ level, reject the null hypothesis.
D. Since the​ p-value is less than the significance​ level, reject the null hypothesis.