Is your index finger longer than your ring finger? Or is it the other way around? It isn't the same for everyone. To investigate if there is a relationship between gender and relative finger length, we selected a random sample of 460 U.S. high school students who completed a survey. The two-way table shows the results. A student would like to assess the association between gender and finger length. He computes a chi-square statistic of 2.065, and a P-value of 0.3561. The student writes his conclusion: “Because the P-value of 0.3561 is greater than 0.10, we fail to reject the null hypothesis. There is convincing evidence there is not an association between gender and relative finger length in the population of U.S. high school students who completed the survey." Gender Is the student's conclusion correct? Explain. Female Male Total Index longer 85 73 158 O The student's conclusion is correct. Relative Same length 42 44 86 O No, the student's conclusion is not correct, because the student should reject the null hypothesis. O No, the student's conclusion is not correct, because finger length Ring longer 100 116 216 Total 227 233 460 the conclusion accepts the null hypothesis.
Is your index finger longer than your ring finger? Or is it the other way around? It isn't the same for everyone. To investigate if there is a relationship between gender and relative finger length, we selected a random sample of 460 U.S. high school students who completed a survey. The two-way table shows the results. A student would like to assess the association between gender and finger length. He computes a chi-square statistic of 2.065, and a P-value of 0.3561. The student writes his conclusion: “Because the P-value of 0.3561 is greater than 0.10, we fail to reject the null hypothesis. There is convincing evidence there is not an association between gender and relative finger length in the population of U.S. high school students who completed the survey." Gender Is the student's conclusion correct? Explain. Female Male Total Index longer 85 73 158 O The student's conclusion is correct. Relative Same length 42 44 86 O No, the student's conclusion is not correct, because the student should reject the null hypothesis. O No, the student's conclusion is not correct, because finger length Ring longer 100 116 216 Total 227 233 460 the conclusion accepts the null hypothesis.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Transcribed Image Text:Is your index finger longer than your ring finger? Or is it the other way around? It isn't the same for everyone. To investigate if
there is a relationship between gender and relative finger length, we selected a random sample of 460 U.S. high school
students who completed a survey. The two-way table shows the results.
A student would like to assess the association between gender and finger length. He computes a chi-square statistic of 2.065,
and a P-value of 0.3561. The student writes his conclusion: "Because the P-value of 0.3561 is greater than 0.10, we fail to
reject the null hypothesis. There is convincing evidence there is not an association between gender and relative finger length in
the population of U.S. high school students who completed the survey."
Gender
Is the student's conclusion correct? Explain.
Female Male Total
Index longer
85
73
158
O The student's conclusion is correct.
Relative
Same length
42
44
86
O No, the student's conclusion is not correct, because
finger length
Ring longer
100
116
216
the student should reject the null hypothesis.
Total
227
233
460
No, the student's conclusion is not correct, because
the conclusion accepts the null hypothesis.
O No, the student's conclusion is not correct, because
the student has evidence to prove an association
between the variables.
O No, the student's conclusion is not correct, because
not all conditions were met for chi-square test.
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