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- A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α{=0.05. (d) Conclusion for the problem above is1. Assuming the below results were obtained in a study used to test the accuracy of the rapid diagnostic test for influenza, calculate and interpret the sensitivity of the rapid diagnostic influenza test. Frequency of Flu Cases Frequency of Non-Flu Cases Frequency of Individuals Who Screened Positive 47 10 Frequency of Individuals Who Screened Negative 43 1000 A) When the rapid diagnostic influenza test is used, 52.22% of individuals who have the flu test positive for the flu.B) When the rapid diagnostic influenza test is used, 90.91% of individuals who have the flu test positive for the.C) When the rapid diagnostic influenza test is used, 47.78% of individuals who have the flu test positive for the flu.D) When the rapid diagnostic influenza test is used, 9.09% of individuals who have the flu test positive for the flu.Q15) A cookie jar containts 15 chocolate chip and 5 oatmeal cookies. If 3 cookies are randomly selected, what is the probablity at least one is an oatmeal cookie? (Find TWO METHODS to calculate this problem, and show the work)
- Assuming the below results were obtained in a study used to test the accuracy of the rapid diagnostic test for influenza, calculate and interpret the sensitivity of the rapid diagnostic influenza test. Frequency of Flu Cases Frequency of Non-Flu Cases Frequency of Individuals Who Screened Positive 47 10 Frequency of Individuals Who Screened Negative 43 100 A) When the rapid diagnostic influenza test is used, 52.22% of individuals who have the flu test positive for the flu. B) When the rapid diagnostic influenza test is used, 90.91% of individuals who have the flu test positive for the. C) When the rapid diagnostic influenza test is used, 47.78% of individuals who have the flu test positive for the flu. D) When the rapid diagnostic influenza test is used, 9.09% of individuals who have the flu test positive for the flu.On time A Department of Transportation report aboutair travel found that, nationwide, 76% of all flights are ontime. Suppose you are at the airport and your flight is oneof 50 scheduled to take off in the next two hours. Can youconsider these departures to be Bernoulli trials? Explain.An automobile manufacturer is considering using robots for part of its assembly process.Converting to robots is expensive, so it will only be done if there is strong evidence that theproportion of defective installations is less for the robots than for the human assemblers. Let pdenote the actual proportion of defective installations for the robots. It is known that theproportion of defective installations for human assemblers in 0.02.a. Write your Null and Alternative Hypotheses. b. In the context of this exercise describe a type I and Type II errors. c. Which value would you select for alpha (.1, .05, .01)? Explain your reasoning.
- 52. (Based on Balson et al. [1992].) An electric utilitycompany is trying to decide whether to replace its PCBtransformer in a generating station with a new and safertransformer. To evaluate this decision, the utility needsinformation about the likelihood of an incident, such as afire, the cost of such an incident, and the cost of replacingthe unit. Suppose that the total cost of replacement as apresent value is $150,000. If the transformer is replaced,there is virtually no chance of a fire. However, if thecurrent transformer is retained, the probability of a fireis assessed to be 0.005. If a fire occurs, the cleanupcost could be high ($100 million) or low ($30 million). The probability of a high cleanup cost, given that a fireoccurs, is assessed at 0.3.a. If the company uses EMV as its decision criterion,should it replace the transformer?b. Perform a sensitivity analysis on the key parametersof the problem that are difficult to assess, namely,the probability of a fire, the probability…X is the number of defective parts in a sample of 10 randomly selected parts coming from a manufactoring process in which 1.5% of all parts are defective. How do I find the probabilty the sample contains no broken parts?An SRS of 100 flights by Speedy Airlines showed that 64 were on time. An SRS of 100 flights by Happy Airlines showed that 80 were on time. Let pS be the proportion of on-time flights for all Speedy Airline flights, and let pH be the proportion of all on-time flights for all Happy Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines? To determine this, you test the hypotheses H0 : pS – pH 0, Ha : pS – pH 0. The P-value of your test is 0.0117. Which of the following is an appropriate interpretation of the P-value? a. If the on-time rates for the two airlines are equal, there is a 0.0117 probability of getting samples with a difference as far or farther from zero as these samples. b. If the on-time rates for the two airlines are not equal, the probability of getting samples with a difference as far or farther from zero as these samples is 0.9883. c. The probability of making a Type I error is 0.0117. d. The probability of making a Type II error…
- A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…A marketing research group found that 25% of the 200 shoppers, it recently interviewed at a certain shopping center, resided more than 12 miles from the center. Assume that a random sample was taken, construct a 95% C.I. for the actual; percentage of shoppers who live more than 15 miles from that center.A manufacturer of light bulbs may want to be reasonably certain that less than 3% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment. Each tested and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.03? State the hypotheses: