Question

One with a systolic blood pressure greater than 129 is considered to have high blood pressure. A study recorded the systolic blood pressures of 14 randomly selected Americans, which yielded a mean of 131.57 with standard deviation 15.88. Conduct a hypothesis test to see if you can say that Americans, on average, have high blood pressure. 1.Write the hypotheses for this test. 2.What is the test statistic? 3.What is the p-value? 4.Using α = 0.05, decide whether or not to reject the null hypothesis. 5.Based on your decision, is there evidence that Americans, on average, have high blood pressure?

Answer 1

Solution :

= 129

=131.57

S =15.88

n = 14

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   = 129

Ha : > 129

Test statistic = t

= ( - ) / S / n

= (131.57-129) / 15.88 / 14

= 0.605

Test statistic = t =0.605  

P-value =0.2776

= 0.05  

P-value >

0.2776 > 0.05

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that