a)
Standard error of the mean = SEM = √x(N-x)/N3 = 0.009
α = (1-CL)/2 = 0.010
Standard normal deviate for α = Zα = 2.326
Proportion of positive results = P = x/N = 0.035
Lower bound = P - (Zα*SEM) = 0.014
Upper bound = P + (Zα*SEM) = 0.056
b) No
HighTech Inc. randomly tests its employees about company policies. Last year in the 400 random tests...
HighTech Inc. randomly tests its employees about company policies. Last year in the 410 random tests conducted, 16 employees failed the test. a. Develop a 99% confidence interval for the proportion of applicants that fail the test. (Round your answers to 3 decimal places.) Confidence interval for the proportion mean is between and
As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 285 applicants, 24 failed the test. (Use z Distribution Table.) a. Develop a 95% confidence interval for the proportion of applicants that fail the test. (Round your answers to 3 decimal places.) For the applicants the confidence interval is between and b. Would it be reasonable to conclude that more than 10% of the applicants fail the test? No Yes
As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 220 applicants, 18 failed the test. (Use z Distribution Table.) a. Develop a 90% confidence interval for the proportion of applicants that fail the test. (Round your answers to 3 decimal places.) For the applicants the confidence interval is between and . b. Would it be reasonable to conclude that more than 12% of the applicants fail the test?
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A computer company claims that the batteries in its laptops last 4 hours on average. A consumer report firm gathered a sample of 16 batteries and conducted tests on this claim. The sample mean was 3 hours 50 minutes, and the sample standard deviation was 20 minutes. Assume that the battery time distribution as normal. Test if the average battery time is shorter than 4 hours at α = 0.05. Use the 5-step method. b) Construct a 95% confidence interval...
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