Elliot was curious if there was a relationship between a student's gender and what superpower they'd prefer to have. He obtained data from a random sample of 206 students. Here is a summary of the data and the results from a chi-square test: Chi-square test: Superpower vs. gender Female Male Fly 19 32 Expected 27.73 23.27 Freeze time 17 23 Expected 21.75 18.25 Invisibility 23 13 Expected 19.57 16.43 Telepathy 53 26 Expected 42.95 36.05 x = 14.759, DF 3, P-value = 0.002 %3D Assume that all conditions for inference were met. At the a 0.05 significance level, what is the most appropriate conclusion to draw from this test?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Pls select letter. Thanks!
![Elliot was curious if there was a relationship between a student's gender and what superpower they'd
prefer to have. He obtained data from a random sample of 206 students. Here is a summary of the data
and the results from a chi-square test:
Chi-square test: Superpower
vs. gender
Female
Male
Fly
19
32
Expected
27.73 23.27
Freeze time
17
23
Expected
21.75
18.25
Invisibility
23
13
Expected
19.57
16.43
Telepathy
53
26
Expected
42.95
36.05
X = 14.759, DF =
3, P-value = 0.002
%3D
Assume that all conditions for inference were met.
At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaaaa4fa-7c80-4c0e-a94e-bfdee05ddac2%2F44dbdeb2-081c-4598-ae27-2ffdeec4a05a%2Fq5l7e79_processed.jpeg&w=3840&q=75)
![Choose 1 answer:
This is convincing evidence that the distribution of superpower differs between the genders.
This isn't enough evidence to say that the distribution of superpower differs between the
genders.
This is convincing evidence that superpower and gender are not independent.
He lacks evidence to say that superpower and gender are not independent.
Gender causes students to prefer certain superpowers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaaaa4fa-7c80-4c0e-a94e-bfdee05ddac2%2F44dbdeb2-081c-4598-ae27-2ffdeec4a05a%2F9l7z6hm_processed.jpeg&w=3840&q=75)
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