STAT 151 Questions
According to a candy company, packages of a certain candy contain 22% orange candies. Find the approximate probability that the random sample of 100 candies will contain 23% or more orange candies. Using a Normal approximation, what is the probability that at least 23% of 100 randomly sampled candies will be orange? P (B 2 0.23) = D (Round to three decimal places as needed.) According to a recent study, some experts believe that 28% of all freshwater sh in a particular country have such high levels of mercury that they are dangerous to eat. Suppose a sh market has 200 sh we consider randomly sampled from the population of edible freshwater fish. Use the Central Limit Theorem (and the Empirical Rule) to nd the approximate probability that the market will have a proportion of sh with dangerously high levels of mercury that is more than three standard deviations above 0.28. You can use the Central Limit Theorem because the sh were randomly sampled; the population is more than 10 times 200; and n times p is 56, n times (1 minus p) is 144, and both are more than 10. The approximate probability that the market will have a proportion of sh with dangerously high levels of mercury that is more than three standard deviations above 0.28 is El. (Round to three decimal places as needed.) To check the condition that the sample size is large enough before applying the Central Limit Theorem for Sample Proportions, researchers can verify that the products of the sample size times the sample proportion and the sample size times (1 - sample proportion) are both greater than or equal to what number? Choose the correct answer below. O A. 5 B. 100 O C. 10 O D. 50In a 2008 survey, people were asked their opinions on astrology-whether it was very scientific, somewhat scientific, or not at all scientific. Of 1437 who responded, 76 said astrology was very scientific. a. Find the proportion of people in the survey who believe astrology is very scientific. b. Find a 95% confidence interval for the population proportion with this belief. c. Suppose a TV news anchor said that 5% of people in the general population think astrology is very scientific. Would you say that is plausible? Explain your answer. a. The proportion of people in the survey who believe astrology is very scientific is (Round to four decimal places as needed.)When constructing a confidence interval for two population proportions, the value of z * is chosen based on When constructing a confidence interval for two population proportions, the value of z * is chosen based on the desired confidence level. the difference in the sample proportions. the size of each sample. the magnitude of the sample proportions.For the calculations to "work" when constructing a condence interval for two population proportions, which of the following conditions must be met? Check all that apply. E] A. The Central Limit Theorem must hold for both of the samples. E] B. The samples must be independent. E] C. The Central Limit Theorem must hold for at least one of the samples
