What is the critical region at the 5% level? (i.e., for what values of the test statistic

Question:

What is the critical region at the 5% level? (i.e., for what values of the test statistic will we reject H₀at the 5% level?)

Cardiovascular Disease

Left ventricular mass (LVM) is an important risk factor for subsequent cardiovascular disease. A study is proposed to assess the relationship between childhood blood-pressure levels and LVM in children as determined from echocardiograms. The goal is to stratify children into a normal bp group (< 80th percentile for their age, gender, and height) and an elevated bp group (‰¥ 90th percentile for their age, gender, and height) and compare change in LVM between the two groups. Before this can be done, one needs to demonstrate that LVM actually changes in children over a 4-year period.

To help plan the main study, a pilot study is conducted where echocardiograms are obtained from 10 random children from the Bogalusa Heart Study at baseline and after 4 years of follow-up. The data are given in Table 9.18.

Table 9.18 Pilot data on left ventricular mass (LVM) in children from the Bogalusa Heart Study

ID Baseline Change (g)* 4-year LVM (g) LVM (g) 24 1 139 163 134 126 -8 86 56 3 142 98 96 -2 5 78 111 33 90 108 18 102 16