Bounce Club surveyed a random sample of 55 of their members about their favorite type of music. Of the members surveyed, 22 said that jazz is their favorite type of music. There are 422 Bounce Club members.Based on the data, what is the most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music?Choose 1 answer:(A) 22(B) 141(C) 169(D) 253
Q. Bounce Club surveyed a random sample of 55 of their members about their favorite type of music. Of the members surveyed, 22 said that jazz is their favorite type of music. There are 422 Bounce Club members.Based on the data, what is the most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music?Choose 1 answer:(A) 22(B) 141(C) 169(D) 253
Total Surveyed Members: Total members surveyed: 55Members who prefer jazz: 22Total Bounce Club members: 422Calculate the proportion of surveyed members who prefer jazz.Proportion = (Members who prefer jazz) / (Total members surveyed)Proportion = 22/55
Calculate Proportion: Perform the calculation for the proportion.Proportion = 5522=0.4
Calculate Proportion: Use the proportion to estimate the total number of club members who prefer jazz.Estimated number = Proportion ∗ Total Bounce Club membersEstimated number =0.4×422
Estimate Club Members: Perform the calculation for the estimated number.Estimated number = 0.4×422=168.8Since we can't have a fraction of a person, round to the nearest whole number.
Round Estimated Number: Round the estimated number to the nearest whole number.Estimated number ≈169
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