6. A new type of speed trap cameras is being evaluated to be used for detecting speeding vehicles. The current type of cameras has the probability of p = 0.8 of a successful 3 detection. From a sample of 40 detections using the new cameras, 34 are found successful. a) For this sample, find the standard error of the proportion. b) Establish a 95% confidence interval for p. c) Can we conclude that the new type of cameras is better? Justify your answer.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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6. A new type of speed trap cameras is being evaluated to be used for detecting speeding
vehicles. The current type of cameras has the probability of p = 0.8 of a successful
3
detection. From a sample of 40 detections using the new cameras, 34 are found
successful.
a) For this sample, find the standard error of the proportion.
b) Establish a 95% confidence interval for p.
c) Can we conclude that the new type of cameras is better? Justify your answer.
7. Ten faculties of engineering at different universities were surveyed. The sample
contained 250 electrical engineering students, 80 being females and from 175 civil
engineering students, 40 being females. Compute a 90% confidence interval for the
difference between the proportions of female students in these two fields of
engineering. Is there a significant difference between the two proportions?
Transcribed Image Text:6. A new type of speed trap cameras is being evaluated to be used for detecting speeding vehicles. The current type of cameras has the probability of p = 0.8 of a successful 3 detection. From a sample of 40 detections using the new cameras, 34 are found successful. a) For this sample, find the standard error of the proportion. b) Establish a 95% confidence interval for p. c) Can we conclude that the new type of cameras is better? Justify your answer. 7. Ten faculties of engineering at different universities were surveyed. The sample contained 250 electrical engineering students, 80 being females and from 175 civil engineering students, 40 being females. Compute a 90% confidence interval for the difference between the proportions of female students in these two fields of engineering. Is there a significant difference between the two proportions?
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