Question

systolic blood pressure levels above 120 mm hg are considered to be high. for the 100 systolic blood pressure levels listed in the accompanying data set, the mean is 120.74000 mm hg and the standard deviation is 14.70608 mm hg. assume that a simple random sample has been selected. use a 0.10 significance level to test the claim that the sample is from a population with a mean greater than 120 mm hg. click the icon to view the data set of systolic blood pressure levels. identify the null and alternative hypotheses. ( h_0: mu = 120 ) ( h_1: mu > 120 ) (type integers or decimals. do not round.) identify the test statistic. 0.50 (round to two decimal places as needed.) identify the p - value. 0.309 (round to three decimal places as needed.) state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. there sufficient evidence at the 0.10 significance level to the claim that the sample is from a population with a mean systolic blood pressure level greater than 120 mm hg.

Explanation:

Step1: Compare P - value and significance level

We are given a significance level \(\alpha = 0.10\) and a P - value \(P=0.309\).
Since \(P = 0.309>0.10=\alpha\).

Step2: Make a decision about the null hypothesis

When \(P>\alpha\), we fail to reject the null hypothesis \(H_{0}\).

Step3: State the conclusion about the claim

Since we fail to reject \(H_{0}\), there is not sufficient evidence at the \(0.10\) significance level to support the claim that the sample is from a population with a mean systolic blood pressure level greater than \(120\) mm Hg.

Answer:

Fail to reject the null hypothesis. There is not sufficient evidence at the \(0.10\) significance level to support the claim that the sample is from a population with a mean systolic blood pressure level greater than \(120\) mm Hg.