Made in America In a recent Harris Poll, a random sample of ad...

Question

Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, “When you see an ad emphasizing that a product is ‘Made in America,’ are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?” The results of the survey, by age group, are presented in the contingency table below.

c. What percentage of Americans are more likely to purchase a product if the advertisement states ""Made in America""?

Contingency table showing survey responses by age group on likelihood to buy products labeled

c. What percentage of Americans are more likely to purchase a product if the advertisement states ""Made in America""?

Accepted Answer

Hello there. Today we're gonna solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. A survey of adults ages 30 and over provides the following data. Education level, bachelor's degree, high school diploma, less than high school. Employed 1140, 950, 600. Unemployed, 60, 150, 100. What percentage of these adults with a bachelor's degree are unemployed? Awesome. So it appears for this particular problem we're asked to determine what percentage of these surveyed adults have a bachelor's degree but are unemployed. So now that we know that we're trying to solve for this specific percentage value, let's read off our multiple choice answers to see what our final answer might be, noting once again they're all written as percentages. So A is 4.0, B is 6.0, C is 5.0, and D is 7.5. Awesome. So our first step is we need to identify the number of adults with a bachelor's degree who are unemployed, which looking at our table, that value turns out to be 60. Our second step now is we need to determine, or rather identify the total number of adults with a bachelor degree, which the total number will be, we're told that there's 1140 who are indeed employed, and we need to add 60, so that will mean that our total. It's going to be equal to 1200 total. So that's the total number of adults who have a bachelor's degree. Awesome. So, Moving right along here. So now our third step is we need to calculate the conditional relative frequency, which, as we should recall, we need to take 60 divided by 1200, and when we do that, we will find that it's equal to 0.05. So when we take 60 divided by 1200 and we plug that into our calculator, we will find that it's equal to 0.05. But we have a bit of a problem right now. It's written as a decimal, but we want it written as a percentage. So our fourth and final step is we need to take 0.05 our decimal, and we need to multiply it by 100 to convert our decimal to a percentage. So when we take 0.05 multiplied by 100, we will get 5.0%, and that is our final answer. Hooray, we did it. So looking at our multiple choice answers, the correct answer without a doubt has to be multiple choice answer letter C, which once again is 5.0%. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

Key Concepts

Contingency Table

Percentage Calculation

Sampling and Representativeness

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