A study was designed to compare two energy drink commercials. each participant was shown the commercials in random order and asked to select the better one. commercial a was selected by 54 out of 115 women and 83 out of 145 men. give an estimate of the difference in gender proportions that favored commercial
a.

Respuesta :

54/115 would give you the percentage of women that chose the commercial, which is roughly 46.96%. Likewise, 83/145 gives you the percentage of men that chose the commercial, which is around 57.24%. We can divide the percentage of men by women to get 1.22, which means that a man is 1.22 times more likely to choose commercial A than a woman

We will see that the difference between the proportion of men that liked the commercial and the proportion of women that liked the commercial is 0.1

How to estimate the difference in gender proportions?

We know that out of 115 women, 54 liked the commercial, so for women, the proportion that liked the commercial is.

W = 54/115 = 0.47

While out of 145 men, 83 liked the commercial, so the proportion is:

M = 83/145 = 0.57

The difference is:

D = M - W = 0.57 - 0.47 = 0.1

What does this mean?

That, out of their respective samples, 10% more men liked the commercial than women. (the percentage is 100% times the proportion).

If you want to learn more about percentages, you can read:

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