Math  /  Data & Statistics

QuestionYou are conducting a test of the claim that the color of the case of your cell phone is dependent on your gender. \begin{tabular}{|c||c|c|c|} \hline & Black & White & Blue \\ \hline Male & 80 & 88 & 51 \\ \hline Female & 56 & 14 & 94 \\ \hline \hline \end{tabular}
Give all answers rounded to 2 places after the decimal point, if necessary. (a) What is the chi-square test-statistic for this data?
Test Statistic: χ2=\chi^{2}= \square (b) What is the critical value for this test of independence when using a significance level of α=0.05\alpha=0.05 ? Critical Value: χ2=\chi^{2}= \square (c) What is the correct summary of this hypothesis test at the 0.05 significance level? I was unable to show that your choice of color is dependent on your gender. I was able to show that your choice of color is independent of your gender. I was unable to show that your choice of color is independent of your gender. I was able to show that your choice of color is dependent on your gender. Question Help: Fig Written Example
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Studdy Solution
Compare the test statistic to the critical value.
Since χ264.08\chi^2 \approx 64.08 is greater than the critical value 5.995.99, we reject the null hypothesis.
Summary: The correct summary of this hypothesis test at the 0.05 significance level is: "I was able to show that your choice of color is dependent on your gender."
Test Statistic: χ264.08\chi^2 \approx 64.08
Critical Value: χ25.99\chi^2 \approx 5.99

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