A company is deciding between a blue logo and a gold logo. Suppose 50 out of 160 adultsapprove of the blue logo, and 210 out of 250 children approve of the blue logo. Suppose 220out of 400 adults approve of the gold logo, and 37 out of 40 children approve of the gold logo. (a) Which logo has a higher approval rate among adults (and what is that rate as apercentage)? (b) Which logo has a higher approval rate among children (and what is that rate as apercentage)? (c) Which logo has a higher approval rate overall (and what is that rate as a percentage)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company is deciding between a blue logo and a gold logo. Suppose 50 out of 160 adultsapprove of the blue logo, and 210 out of 250 children approve of the blue logo. Suppose 220out of 400 adults approve of the gold logo, and 37 out of 40 children approve of the gold logo.

(a) Which logo has a higher approval rate among adults (and what is that rate as apercentage)?

(b) Which logo has a higher approval rate among children (and what is that rate as apercentage)?

(c) Which logo has a higher approval rate overall (and what is that rate as a percentage)?

Expert Solution
Step 1:-

Approval rate among adults for blue logo= 50/160 = 0.3125 = 31.25%

Approval rate among adults for gold logo= 220/400 = 0.55 = 55%

Gold logo has a higher approval rate among adults i.e. 55% 

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