In a sample of 82 adults selected randomly from one town, it is found that 12 of them have been exposed to Covid-19. Using a 0.05 significance level to test the claim that the proportion of all adults in the town have been exposed is 10%, find the correct p-value. O a. 0.005 O b. 0.081 O c. 0.884 O d. 0.162In a study, 44% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 14 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 14 adults are randomly selected, 3 or fewer are in excellent health. 0 a. 0.020 O b. 0.053 O c. 0.073 0 d. 0.046 IQ scores are normally distributed with a mean of 100 and standard deviation of 15. Use the information to answer the following question. Find the IQ score separating the top 16% from the others. 0 a. 114.9 0 b. 107.3 0 c. 85.0 0 d. 99.5 An education expert is researching teaching methods and wishes to interview teachers from a particular school district. She randomly selects ten schools from the district and interviews all of the teachers at the selected schools. Does this sampling plan result in a random sample? Simple random sample? Explain. O a. No; no. The sample is not random because teachers in small schools are more likely to be selected than teachers in larger schools. It is not a simple random sample because some samples are not possible, such as a sample that includes teachers from schools that were not selected. 0 b. Yes; no. The sample is random because all teachers have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample that includes teachers from schools that were not selected. 0 c. Yes; yes. The sample is random because all teachers have the same chance of being selected. It is a simple random sample because all samples have the same chance of being selected. 0 d. No; yes. The sample is not random because teachers in small schools are more likely to be selected than teachers in larger schools. It is a simple random sample because all samples have the same chance of being selected. The frequency distribution for the weekly incomes of students with part-time jobs is given below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. Income ($) Frequency 200-300 55 301-400 70 401-500 73 501-600 68 More than 600 10