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Chapter 11: Q. 43 (page 755)

Finger length 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 460U.S. high school students who completed a survey. The two-way table shows the results.


Do these data provide convincing evidence at the α=0.10level of an association between gender and relative finger length in the population of students who completed the survey?

Short Answer

Expert verified

No, the data is not convincing evidence at the level of an association.

Step by step solution

01

Given information

We need to find out whether the data provided is convincing evidence or not.

02

Explanation

We know that

The null hypothesis asserts that the variables are unrelated, whereas the alternative hypothesis asserts that they are.

H0is there is no association between gender and relative finger length.

Hαis there is an association between gender and relative finger length.

And expected frequencies are a product of row and column total divided by table total.

And The squared differences between the actual and predicted frequencies, divided by the expected frequency, make up the chi-square subtotals.

Therefore, the data is not convincing evidence at the level of an association.

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