According to a Gallup Poll, 18% of Americans surveyed said that they had gained “a lot”...

According to a Gallup Poll, 18% of Americans surveyed said that they had gained “a lot” of weight in the past five years. Assume that this result is true for the current population of Americans. A random sample of 14 Americans is selected.

a.Find the probability that in a random sample of 14 Americans, the number who will say they have gained “a lot” of weight in the past five years is at most 2. Draw a distribution

b. Find the probability that in a random sample of 14 Americans, the number who will say they have gained “a lot” ofweights in the past five year is greater than3. Draw a distribution

Solutions

Expert Solution

The following information has been provided about the population proportions and the sample size:

Population Proportion =	0.18
Sample Size =	14

2/14 = 0.1428

We need to compute . Based on the information provided, the population men of sample proportions and the corresponding standard error are:

Now, the following is obtained using normal approximation:

The following information has been provided about the population proportions and the sample size:

Population Proportion =	0.18
Sample Size =	14

3/14 = 0.2143

We need to compute . Based on the information provided, the population men of sample proportions and the corresponding standard error are:

Now, the following is obtained using normal approximation:

orchestra answered 1 year ago

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