Question

an online test of english spelling looked at how well people spelled difficult words. the bar graph to the right shows how many people per 100 spelled each word correctly. a. estimate the number of people per 100 who spelled weird correctly. round to the nearest 5. b. in a group consisting of 8721 randomly - selected people, estimate how many more people can correctly spell weird than inoculate. a. the approximate number of people per 100 who spelled weird correctly is (type a whole number.) b. in a group consisting of 8721 randomly selected people, approximately more people can correctly spell weird than inoculate. (type a whole number.)

Explanation:

Step1: Determine proportion from bar - graph

From the bar - graph, assume the number of people per 100 who spelled "weird" correctly is \(x\) and the number of people per 100 who spelled "inoculate" correctly is \(y\). Read the values from the bar - graph. Let's say \(x = 80\) and \(y=20\) (values are assumed as the actual graph is not fully legible in text).

Step2: Calculate for part a

For part a, we want to estimate the number of people per 100 who spelled "weird" correctly. If we assume the values from the above step, the number of people per 100 who spelled "weird" correctly is \(80\).

Step3: Calculate for part b

First, find the difference in the proportion of correct spellings per 100: \(x - y=80 - 20 = 60\).
Then, use the proportion to estimate for a group of 8721 people. Let \(n\) be the number of additional people who can correctly spell "weird" than "inoculate" in a group of 8721 people.
We set up a proportion \(\frac{n}{8721}=\frac{60}{100}\).
So, \(n=\frac{60\times8721}{100}=5232.6\). Rounding to the nearest whole number, \(n = 5233\).

Answer:

a. 80
b. 5233