We record the gender of the 15 students enrolled in an introductory statistics course as they enter

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We record the gender of the 15 students enrolled in an introductory statistics course as they enter the classroom. The males are denoted by a blue M and the females are denoted by a red \(\mathrm{F}\) :

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Is there sufficient evidence to conclude that the individuals enter the room in a nonrandom way as it pertains to gender at the \(\alpha=0.05\) level of significance?

Approach We want to see if the data indicate that students enter the class randomly (independent of gender). After verifying the requirements that the data were collected in the order they occurred and that there are two mutually exclusive categories of data, we follow Steps 1 through 5.

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