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Chapter 19 to 22 MC AP Stat part 1

Quiz by Corey Klein

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10 questions
Show answers
  • Q1
    In a large statistics class, the professor has each student toss a coin 12 times and calculate the proportion of tosses that come up tails. The students then report their results, and the professor plots a histogram of these several proportions. May a Normal model be used here?
    A Normal model should not be used because the 10% condition is not satisfied: the sample size, 12, is larger than 10% of the population of all coins flips.
    A Normal model may be used: Coin flips are independent of each other - no need to check the 10% condition
    A Normal model should not be used because the sample size is not large enough to satisfy the success/failure condition. For this sample size, np = 6 = nq = 6 which are both less than 10.
    A Normal model may be used: Coin flips are independent of each other - no need to check the 10% condition Success/Failure condition is satisfied: np = nq = 6 which are both less than 10
    120s
  • Q2
    A candy company claims that 25% of the jelly beans in its spring mix are pink. Suppose that the candies are packaged at random in small bags containing about 300 jelly beans. A class of students opens several bags, counts the various colors of jelly beans, and calculates the proportion that are pink in each bag. Is it appropriate to use a Normal model to describe the distribution of the proportion of pink jelly beans?
    A Normal model is not appropriate because the randomization condition is not satisfied: the 300 jelly beans in the bag are not a simple random sample and cannot be considered representative of all jelly beans.
    A Normal model is appropriate: Randomization condition is satisfied: the 300 jelly beans in the bag are selected at random and can be considered representative of all jelly beans 10% condition is satisfied: the sample size, 300, is less than 10% of the population of all jelly beans. success/failure condition is satisfied: np = 75 and nq = 225 are both greater than 10
    A Normal model is not appropriate because the 10% condition is not satisfied: the sample size, 300, is larger than 10% of the population of all jelly beans.
    A Normal model is not appropriate because the population distribution is not Normal.
    120s
  • Q3
    We are about to test a hypothesis using data from a well-designed study. Which is true? I. A large P-value would be strong evidence against the null hypothesis. II. We can set a higher standard of proof by choosing α = 10% instead of 5%. III. If we reduce the risk of committing a Type I error, then the risk of a Type II error will also decrease.
    III only
    II only
    I and II only
    None
    120s
  • Q4
    In a large class, the professor has each person toss a coin several times and calculate the proportion of his or her tosses that come up heads. The students then report their results, and the professor plots a histogram of these proportions. If each student tosses the coin 200 times, about 95% of the sample proportions should be between what two numbers?
    0.429 and 0.571
    0.071 and 0.106
    0.495 and 0.505
    0.2375 and 0.7375
    120s
  • Q5
    Researchers believe that 7% of children have a gene that may be linked to a certain childhood disease. In an effort to track 50 of these children, researchers test 950 newborns for the presence of this gene. What is the probability that they find enough subjects for their study? Assume that the necessary conditions and assumptions are met.
    0.0358
    0.9216
    0.0179
    0.9821
    120s
  • Q6
    In a survey of 280 adults over 50, 80% said they were taking vitamin supplements. Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements.
    4.69%
    10.5%
    13.8%
    6.16%
    120s
  • Q7
    A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct a 95% confidence interval for the percentage of all voters in the state who favor approval.
    (44.4%, 50.0%)
    (43.8%, 50.5%)
    (42.3%, 52.0%)
    (43.1%, 51.2%)
    120s
  • Q8
    A researcher wishes to estimate the proportion of fish in a certain lake that is inedible due to pollution of the lake. How large a sample should be tested in order to be 99% confident that the true proportion of inedible fish is estimated to within 7%?
    277
    139
    Not enough information is given
    339
    120s
  • Q9
    1. Which of the following is true about Type I and Type II errors? I. Type I errors are always worse than Type II errors. II. The severity of Type I and Type II errors depends on the situation being tested. III. In any given situation, the higher the risk of Type I error, the lower the risk of Type II
    I only
    I and III
    II and III
    III only
    120s
  • Q10
    We are about to test a hypothesis using data from a well-designed study. Which is true? I. A large P-value would be strong evidence against the null hypothesis. II. We can set a higher standard of proof by choosing α = 10% instead of 5%. III. If we reduce the risk of committing a Type I error, then the risk of a Type II error will also decrease.
    None
    II only
    III only
    I and II only
    120s

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