In order to be effective reflective highway signs must be

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In order to be effective, reflective highway signs must be picked up by the automobile's headlights. To do so at long distances requires that the beams be on "high". A study conducted by highway engineers reveals that 45 of 50 randomly selected cars in a high-traffic- volume area have the headlights on low beam.

(a) Find a point estimate for p, the proportion of automobiles in this type area that use low beams.

(b) Find a 90% confidence interval on p.

(c) Test

Ho : p = .95 vs H1 : p < .95 at the significance level of 0.05

(d) How large a sample is required to estimate p within .02 with 95% confidence?

Reference no: EM13614321

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