The graph shows the results of a survey of adults in Country A, ages 33 to 51, w

Question

The graph shows the results of a survey of adults in Country A, ages 33 to 51, who were asked if they participated in a sport. Hovw Seventy percent of adults said they regularly participated in at least one sport, and they gave their favorite sport. You randomly select 200 people in Country A, ages 33 to 51, and ask them if they regularly participate in at least one sport. You find that 35% get physical say no. How likely is the result? Do you think this sample is a good one? Explain your reasoning dults Swimming 16% tie) Bicyding golf 12% 1% Sortball, 10% 9% 6% Boting. r 4% Select the correct choice below and fill in the answer box within your choice (Round to four decimal places as needed.) A is greater than 0.05 ° B , s greater than The result is highly unlikely because its probability, 0.05. Thus, the sample is a good representative sample The result is highly likely because its probability, Thus, the sample is not a good representative sample The result is highly likely because its probability Thus, the sample is not a good representative sample ° C. The result is highly unlikely because its probability, , is less than 0.05 ( D. , s less than 0.05 . Thus, the sample is not a good representative sample

Explanation / Answer

Test statistic, z = (p - p0)/sqrt(p0*(1-p0)/n)
z = (0.65 - 0.7)/sqrt(0.7*0.3/200) = -1.5430
p-value = 0.1228

Answer. Option A The result is higly likely because its probability 0.1228 is greater than 0.05, Thus, the sample is not a good representative sample.

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