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inference about the data is best supported by this information?
More eighth-grade students prefer art as an elective than prefer band
Fewer seventh-grade students prefer band or theater as an elective tha art.
Half as many seventh-grade students as eighth-grade students prefer
t an elective.
Twice as many seventh-grade students as eighth-grade student prefer

inference about the data is best supported by this information? $\newline$ More eighth-grade students prefer art as an elective than prefer band $\newline$ Fewer seventh-grade students prefer band or theater as an elective tha art. $\newline$ Half as many seventh-grade students as eighth-grade students prefer t an elective. $\newline$ Twice as many seventh-grade students as eighth-grade student prefer

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Find probabilities using the binomial distribution

Full solution

Q. inference about the data is best supported by this information?

\newline

More eighth-grade students prefer art as an elective than prefer band

\newline

Fewer seventh-grade students prefer band or theater as an elective tha art.

\newline

Half as many seventh-grade students as eighth-grade students prefer t an elective.

\newline

Twice as many seventh-grade students as eighth-grade student prefer

Identify Information Given: First, let's identify the information given: $\newline$ - More eighth-grade students prefer art than band. $\newline$ - Fewer seventh-grade students prefer band or theater than art. $\newline$ - Half as many seventh-grade students as eighth-grade students prefer theater as an elective. $\newline$ - Twice as many seventh-grade students as eighth-grade students prefer band.
Infer Art Preference: We can infer that art is the most preferred elective among both seventh and eighth-grade students since it is preferred over band and theater in the seventh grade and over band in the eighth grade.
Theater Less Popular in Seventh Grade: Next, we can infer that theater is less popular among seventh-grade students compared to eighth-grade students because only half as many seventh graders prefer theater compared to eighth graders.
Band More Popular in Seventh Grade: Finally, we can infer that band is more popular among seventh-grade students compared to eighth-grade students because twice as many seventh graders prefer band compared to eighth graders.

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