The Graded Naming Test and sociocultural differences: Researchers often use z tests to compare their samples known to population norms. The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black-and-white drawings. The test, often used to detect brain damage, starts with easy words like kangaroo and gets progressively more difficult, ending with words like sextant. The GNT population norm for adults in england is 20.4/ Roberts (2003) wondered whether a sample of canadian adults had different scores than adults in England. If they were different, the english norms would not be valid for use in canada. The mean for 30 canadian adults was 17.5. For the purposes of this exercise, assume that the standard deviation of the adults in england is 3.2

a. When we change the alpha level that we use as a cutoff, there is a small change in step 4 of hypothesis testing. Although 0.05 is the most commonly used alpha level, other values, such as 0.01, are often used. For this example, conduct steps 4 and 6 of hypothesis testing for a two-tailed test and alpha level of 0.01. Determining the cutoff and drawing the curve.

b. If it is easier to reject the null hypothesis with certain alpha levels, does this mean that there is a bigger difference between the samples with one alpha level versus the other alpha level? Explain.