Question

PLZ HELP HURRY PLZ Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Which of the following inferences can be made based on the data? Most members prefer a beach vacation. Most members prefer a adventure vacation. More members prefer an adventure vacation and a ski vacation than a cruise vacation. More members prefer a beach vacation and ski vacation than an adventure vacation.

Answer 1

Answer: Choice D)

More members prefer a beach vacation and ski vacation than an adventure vacation.

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Explanation:

Let's go through the four answer choices to see which one is true.

• Choice A is false because most members prefer a cruise, as 70+72 = 142 is the largest column sum.
• Choice B is false for the same reasoning as choice A.
• Choice C is false. We have 6+1 = 7 people who prefer adventure and 19+21 = 40 who prefer to ski, giving 7+40 = 47 people who prefer either. But this is nowhere near 142 we found back in choice A above. So more people prefer a cruise than the combined amount for adventure and ski.
• Choice D is true. Adding the column totals for "beach" and "ski" gives (5+6)+(19+21) = 11+40 = 51, and this exceeds the column total of "adventure (6+1 = 7).