## Related questions with answers

Is there a relationship between gender and relative finger length? To investigate, a random sample of 452 U.S. high school students was selected. The two-way table shows the gender of each student and which finger was longer on his or her left hand (index finger or ring finger). State the hypotheses for a test of the relationship between gender and relative finger length for U.S. high school students.

$\begin{array} {lc} & \text{Gender} \\ \text {$\begin{matrix} \text{Longer}\\ \text{finger}\\ \end{matrix}$} & \begin{array}{l|c|r|r} & \text { Female } & \text { Male } & \text { Total } \\ \hline \text { Index finger } & 78 & 45 & 123 \\ \hline \text { Ring finger } & 82 & 152 & 234 \\ \hline \text { Same length } & 52 & 43 & 95 \\ \hline \text { Total } & 212 & 240 & 452 \end{array}\\ \end{array}$

Solution

VerifiedThe null hypothesis states that there is no association between the variables. The alternative hypothesis states that there is an association between the variables.

$\begin{align*} H_0&:\text{There is no association between gender and longer finger.} \\ H_a&:\text{There is an association between gender and longer finger.} \end{align*}$

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