In a test of the hypothesis Upper H0: =10 versus Ha: 10 a sample of n = 50 obser

Question

In a test of the hypothesis Upper H0: =10 versus Ha: 10 a sample of n = 50 observations possessed mean x = 10.8 and standard deviation s = 3.2. Find and interpret the p-value for this test.

The p-value for this test is _________. (Round to four decimal places as needed.) Interpret the result.

Choose the correct answer below.

A. There is insufficient evidence to reject Upper H 0H0 for alphaequals=0.15.

B. There is sufficient evidence to reject Upper H 0H0 for alphagreater than> 0.08.

C. There is sufficient evidence to reject Upper H 0H0 for alphaless than< 0.08.

Explanation / Answer

t-statistic = (10.8 - 10) / (3.2 / sqrt 50) = 1.768

p-value = (2)P(t > 2.828) = 2 x 0.041643 = 0.083286 using 49 d.f

The P-Value is 0.466846

So, the result is not significant

Answer option

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