AP Statistics Unit 5 Review

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in the next ten years?" Above is a two-way table of the responses by gender. For these data, χ2 = 69.8 with a P-value of approximately 0. Assuming that the researchers used a significance level of 0.05, which of the following is true?

• A type I error is possible 
  

• A type II error is possible 
  

• Both a type I and type II error are possible

• There is no chance of making a type I or type II error because the P-value is approximately 0

• There is no chance of making a type I and type II error because the calculations are correct

A Chi-square goodness-of-fit test is used to test whether a 0 - 9 spinner is “fair” (that is, the outcomes are all equally likely). The spinner is spun 100 times and the results are recorded. The degrees of freedom for the test will be

• 8

• 9

• 10

• 99

• none of these

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current are generally assumed to be harmless. To investigate this, researchers visited the addresses of a random sample of children who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either a high-current configuration (HCC) or a low-current configuration (LCC). Data is given in the table.Computer software was used to analyze the data.X2 = 0.082 + 0.170 + 0.023 + 0.048 + 0.099 + 0.013 = 0.435The appropriate degrees of freedom for the statistic is

• 1

• 2

• 3

• 4

• 5

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current are generally assumed to be harmless. To investigate this, researchers visited the addresses of a random sample of children who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either a high-current configuration (HCC) or a low-current configuration (LCC). Data is given in the table. Computer software was used to analyze the data. X² = 0.082 + 0.170 + 0.023 + 0.048 + 0.099 + 0.013 = 0.435 Which of the following may we conclude, based on the test results?

• There is strong evidence of an association between wiring configuration and the chance that a child will develop some form of cancer.
  

• HCC either causes cancer directly or is a major contributing factor to the development of cancer in children.
  

• Leukemia is the most common type of cancer among children. 
  

• There is not convincing evidence of an association between wiring configuration and the type of cancer that caused the deaths of children in the study.
  

• There is a weak evidence that HCC causes cancer in children. 
  

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current are generally assumed to be harmless. To investigate this, researchers visited the addresses of a random sample of children who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either a high-current configuration (HCC) or a low-current configuration (LCC). Data is given in the table. Computer software was used to analyze the data. X² = 0.082 + 0.170 + 0.023 + 0.048 + 0.099 + 0.013 = 0.435. A Type I error would occur if we conclude that

• HCC wiring caused cancer when it actually didn’t. 
  

• HCC wiring didn’t cause cancer when it actually did. 
  

• There is no association between the type of wiring and the form of cancer when there actually is an association.
  

• There is an association between the type of wiring and the form of cancer when there actually is no association.
  

• The type of wiring and the form of cancer have a positive correlation when they actually don’t. 
  

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current are generally assumed to be harmless. To investigate this, researchers visited the addresses of a random sample of children who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either a high-current configuration (HCC) or a low-current configuration (LCC). Data is given in the table.Computer software was used to analyze the data.X2 = 0.082 + 0.170 + 0.023 + 0.048 + 0.099 + 0.013 = 0.435The appropriate count of cases with lymphoma in homes with an HCC is

• None of these

If we are looking at a boxplot and notice that the distribution is skewed right, what measure of center should we use?

• Mean

• Mode

• Median

• IQR

A researcher has gathered data about the number of soft drinks teenagers drink on a daily basis by taking a random sample of 1500 teenagers from around the world. We find that our data shows that the mean is larger than the median. What does this tell us about the shape of the distribution?

• skewed right

• skewed left

• uniform

• symmetric

Given the five number summary below, find the IQR:

5,8,10,14,26

• 21

• 6

• 10

• 9

If the mean and median of a distribution are equal, what does this tell us about the shape?

• Symmetric

• Unimodal

• Skewed Right

• Skewed Left