A student wondered if there was an association between relationship status and overall letter grade (based on grade point average) at her high school. She used a stratified random sample to select 20 students within each letter grade. The information is displayed in the table below. Letter Grade In a relationship Not in a relationship Total A 8 12 20 B 11 C 13 7 20 10 10 F 6 14 20 Total 48 52 100 AX² test of independence was conducted to determine whether the data above provides convincing evidence of an association between relationship status and overall letter grade. The x test statistic was 5.849 with a p-value of 0.211. Which of the following statements is true? 20 20

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question

X2 Independence: Grades or Relationships?

A
No relevant conclusion can be made because the data is not normally distributed.
Since the p-value is greater than the significance level of a = 0.05, there is sufficient evidence to
В
suggest relationship status and overall letter grade are independent.
Since the p-value is greater than the significance level of a = 0.05, there is sufficient evidence to
C
suggest relationship status and overall letter grade are dependent.
Since the p-value is greater than the significance level of a = 0.05, there is insufficient evidence to
suggest an association between relationship status and overall letter grade.
Since the p-value is greater than the significance level of a =
0.05, there is sufficient evidence to
suggest an association between relationship status and overall letter grade.
Transcribed Image Text:A No relevant conclusion can be made because the data is not normally distributed. Since the p-value is greater than the significance level of a = 0.05, there is sufficient evidence to В suggest relationship status and overall letter grade are independent. Since the p-value is greater than the significance level of a = 0.05, there is sufficient evidence to C suggest relationship status and overall letter grade are dependent. Since the p-value is greater than the significance level of a = 0.05, there is insufficient evidence to suggest an association between relationship status and overall letter grade. Since the p-value is greater than the significance level of a = 0.05, there is sufficient evidence to suggest an association between relationship status and overall letter grade.
A student wondered if there was an association between relationship status and overall letter grade (based on grade
point average) at her high school. She used a stratified random sample to select 20 students within each letter grade.
The information is displayed in the table below.
Letter Grade
In a relationship
Not in a relationship
Total
A
8
12
20
11
20
C
13
7
20
10
10
20
6
14
20
Total
48
52
100
Ax test of independence was conducted to determine whether the data above provides convincing evidence of an
association between relationship status and overall letter grade. The x' test statistic was 5.849 with a p-value of
0.211. Which of the following statements is true?
9,
B.
Transcribed Image Text:A student wondered if there was an association between relationship status and overall letter grade (based on grade point average) at her high school. She used a stratified random sample to select 20 students within each letter grade. The information is displayed in the table below. Letter Grade In a relationship Not in a relationship Total A 8 12 20 11 20 C 13 7 20 10 10 20 6 14 20 Total 48 52 100 Ax test of independence was conducted to determine whether the data above provides convincing evidence of an association between relationship status and overall letter grade. The x' test statistic was 5.849 with a p-value of 0.211. Which of the following statements is true? 9, B.
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