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Mathematics, 18.02.2020 23:55 roderickhinton

A research organization recently issued a statement suggesting that 80% of American voters are dissatisfied with the work of Congress. You designed a simulation to generate sample data to reflect this proportion. An automated random number sample program is used that has a sample of size 50, is run 100 times, and uses the numbers 1 through 16 to represent dissatisfied voters and the numbers 17 through 20 to represent satisfied voters. The dot plot below represents the outcome of the simulation, with the margin of error displayed.

Dot plot titled Simulation of 80 percent Dissatisfaction with Congress with x axis labeled Number of Yeses in Sample of 20 and ranges from 33 to 48 and y axis labeled Frequency ranges from 0 to 20. The sample size is 50 and the number of trials is 100. The mean is shown to fall somewhere between 39 and 40 on x axis and margin of error is represented with vertical lines on either side of the mean, one at approximately x equals 38 and one half and the other at approximately x equals 40 and one half. There are three dots arranged vertically from 35,1 to 35,3 and six dots arranged vertically from 36,1 to 36,6 and four dots arranged vertically from 37,1 to 37,4 and fifteen dots arranged vertically from 38,1 to 38,15 and nineteen dots arranged vertically from 39,1 to 39,19 and eighteen dots arranged vertically from 40,1 to 40,18 and ten dots arranged vertically from 41,1 to 41,10 and thirteen dots arranged vertically from 42,1 to 42,13 and seven dots arranged vertically from 43,1 to 43,7 and two dots arranged vertically from 44,1 to 44,2 and two dots arranged vertically from 45,1 to 45,2 and one dot at 46,1.

Using the data from this simulation, what is the sample mean (rounded to the nearest tenth), x bar comma and approximately what proportion of voters are dissatisfied?

x bar equals 39.6 and approximately 79.2% of voters are dissatisfied with Congress
x bar equals 39.8 and approximately 79.6% of voters are dissatisfied with Congress
x bar equals 39.9 and approximately 79.8% of voters are dissatisfied with Congress
x bar equals 40.0 and approximately 80.0% of voters are dissatisfied with Congress

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