Instructions: Choose the number of the correct statistical procedure (test) for
ID: 3155892 • Letter: I
Question
Instructions: Choose the number of the correct statistical procedure (test) for the problem listed below. Use the information to set up the appropriate null hypothesis and give the type of the response variable. Choices of tests include:
1-sample z-test about a proportion (1)
1-sample t-test about a mean (2)
2-sample z-test about two proportions (3)
2-sample t-test about two independent means (4)
paired t-test about average difference of two means (5)
Nonparametric test about medians (6)
t-test about a slope of a regression line (7)
Chi-square test (8)
A physiologist and a psychologist were talking about strange facts in people. The physiologist said that there is a substantial difference between males and females on which finger is longest in people: the ring or the index finger. The psychologist retorted that this was stupid--there couldn’t be any sizable difference between males and females. So they decided to do a statistical analysis on some data collected in Stat 250 classes in the 1990s. Here is the data they obtained:
-----------------------------------------------------------------------Longer Finger
-----------------------------Ring Index Total
Males 175 74 249
Females 287 188 475
On the basis of this data, do you believe there is a gender difference? There are two ways to analyze this data.
List both.
Explanation / Answer
One way to test is by using
OPTION 3: 2-sample z-test about two proportions (3) [ANSWER]
as we can compute for proportions of male and female who have a longer ring finger than index finger.
We can also do
OPTION 8: Chi-square test (8) [ANSWER]
and test if the longer finger is dependent on gender.
[There are 2 answers: OPTIONS 3 AND 8]