There is growing concern over a possible causal link between consumption of diet soda and obesity. In 2013, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. In the sample, 920 adults described themselves as overweight, and 300 of them said that they mostly drink diet soda. The remaining 1107 adults described themselves as about right weight, and 225 of them said that they mostly drink diet soda. We plan to test the following hypotheses: The pooled sample proportion of individuals who mostly drink diet soda is: a. 0.2491 b. 0.2033 c. 0.5000 d. 0.2590 e. 0.3261

Question

Mathematics

Karley

17 January, 12:09

There is growing concern over a possible causal link between consumption of diet soda and obesity. In 2013, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. In the sample, 920 adults described themselves as overweight, and 300 of them said that they mostly drink diet soda. The remaining 1107 adults described themselves as about right weight, and 225 of them said that they mostly drink diet soda. We plan to test the following hypotheses: The pooled sample proportion of individuals who mostly drink diet soda is: a. 0.2491 b. 0.2033 c. 0.5000 d. 0.2590 e. 0.3261

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Answers (1)

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Dario · Answer 1

d. 0.2590

Step-by-step explanation:

In this problem, we have that:

A sample of 2027 adults.

920 overweight, and of those, 300 said they drink mostly diet soda.

1107 right weight, of those 225 said that they mostly drink diet soda.

Of 2027 adults, 300+225 = 525 said that they mostly drink diet soda.

The pooled sample proportion of individuals who mostly drink diet soda is:

525 of 2027

525/2027 = 0.2590

So the correct answer is:

d. 0.2590