The diet of peregrine falcons consists of songbirds, shorebirds, and waterfowl.
ID: 3131367 • Letter: T
Question
The diet of peregrine falcons consists of songbirds, shorebirds, and waterfowl. Typically, songbirds are smaller than shorebirds, which are smaller than waterfowl. The female peregrine is considerably larger than the male, with a length of 46-54 cm, compared to 38-46 cm for the male. Data were collected on the prey of a number of peregrines of each sex for the purpose of determining whether or not the larger females more regularly capture the larger prey, with the results below.
Use a statistical test to assess whether there is an association between sex and prey type.
What is the null hypothesis for the test?
The distribution of prey type is heterogeneous for male and female falcons.
The distribution of prey type is not homogeneous for male and female falcons.
There is no difference in prey type between male and female falcons.
[1 pt(s)]
What is the expected count for songbirds eaten by males? [1 pt(s)]
Compute the value of the test statistic. [1 pt(s)]
How many degrees of freedom are there? [1 pt(s)]
Which interval in the table contains the p-value for the test?
p-value 0.005
0.005 < p-value 0.01
0.01 < p-value 0.025
0.025 < p-value 0.05
0.05 < p-value 0.1
p-value > 0.1
[1 pt(s)]
What is your conclusion at = 0.05?
Do not reject the null hypothesis that there is a difference in prey type between the sexes.
Reject the null hypothesis that there is no difference in prey type between the sexes.
Do not reject the null hypothesis that there is no difference in prey type between the sexes.
Reject the null hypothesis that there is a difference in prey type between the sexes.
[1 pt(s)]
Explanation / Answer
a) Correct Answer : Option (C)
There is no difference in prey type between male and female falcons.
b)
E(23) = (37*35)/71 = 18.239
c) Test Statitic = 5.4353
d) df = (row-1)*(coloumns-1) = (2-1)(3-1) = 2
e) Correct Answer : 0.05 < p-value 0.1
Since P value = 0.0660
d) Correct Answer :Option (C)
Do not reject the null hypothesis that there is no difference in prey type between the sexes.
Songbirds Shorebirds Waterfow Total Male 23 9 5 37 Female 12 12 10 34 Total 35 21 15 71