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In a survey of 2480 golfers, 15% said they were left-handed. The survey\'s margi

ID: 3217169 • Letter: I

Question

In a survey of 2480 golfers, 15% said they were left-handed. The survey's margin of error was 3%. Construct a confidence interval for the proportion of left-handed golfers. When 490 college students were surveyed, 130 said they own their car. Construct a 95% confidence interval for the proportion of college students who say they own their cars. A survey of 300 fatal accidents showed that 123 were alcohol related. Construct a 98% confidence interval for the proportion of fatal accidents that were alcohol related. A researcher wishes to estimate the number of household with two cars. How large a sample is needed in order to be 95% confident that the sample proportion will not from the true proportion by more than 5 % A previous study indicates that the proportion of households with two cars is 22%. Find the value of E, the margin of error, for c = 0.99, n = 16 and s =2.6. Find the critical value, t_c for c = 0.99, n =16 and s = 2.6

Explanation / Answer

2)

C.I=p+-M.E(margin of error)

LCL=p-M.E=0.15-0.03=0.12

UCL=p+M.E=0.15+0.03=0.18

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