A Tough Statistics Trivia

60 Questions | Total Attempts: 18

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A Tough Statistics Trivia

Statistics is a discipline or a study that concerns the collecting, organizating, analysing, and presentation of data. In other words, Statistics is defined as numerical data, and is the field of math that deals with the collection and tabulation of numerical data. Are you a statistical genius? Take this quiz about statistics and find out ALL THE BEST


Questions and Answers
  • 1. 
    What is the variable scale of the following survey item. Here is the survey question and its answer coding. What is your occupational rank? 1   Staff member  2   Supervisor  3   Assistant manager  4   Senior manager  5   Executive  6   CEO/presiden
    • A. 

      Ratio

    • B. 

      Continuous

    • C. 

      Ordinal

    • D. 

      Nominal

  • 2. 
    What is the variable scale of the following survey item. Here is the survey question and its answer coding. "How much do you participate in your community?" 1   I do nothing at all. 2   I attend some local events, such as festivals.  3   I help fund raise. 4   I am an active member of a community group. 5   I am an executive of a community group. 6   I am a social advocate and organizer. 7   I run for local office (e.g., municipal council). 8   Other. 9   Not specified.
    • A. 

      Nominal

    • B. 

      Continous

    • C. 

      Dichotomous

    • D. 

      Ordinal

  • 3. 
    Which of the following can be treated as a continuous variable?
    • A. 

      Ethnicity (French, Brazilian, etc).

    • B. 

      Phone number (519-884-0710, etc.).

    • C. 

      Price ($5, $25.99, etc.).

    • D. 

      Computer IP address (12-346-378-90, etc.).

  • 4. 
    Here is a hypothesis: “students are more likely to vote in elections if political candidates discuss issues such as education and the environment." What is the independent variable?
    • A. 

      Issues discussed

    • B. 

      Students

    • C. 

      Political Candidates

    • D. 

      Likely to vote

  • 5. 
    A dataset was built to track media coverage on the topic of climate change over a period of one year. Within this year, data was collected on a weekly basis. One variable records the number of relevant articles published during a week. What variable scale would that variable be?
    • A. 

      Nominal 

    • B. 

      Ordinal

    • C. 

      Categorical

    • D. 

      Continuous

  • 6. 
    What is the unit of analysis of the World Values Survey?
    • A. 

      Countries

    • B. 

      Years

    • C. 

      Socio-demographic groups

    • D. 

      Individuals

  • 7. 
    As a principle of good practice, the first thing we should do before we're about to work with data is look at it. If we are working with some variables from a dataset, what's the first procedure we should execute?
    • A. 

      We should generate a frequency table.

    • B. 

      We should compute some basic statistics, such as mean, median, mode.

    • C. 

      We should execute a syntax file

    • D. 

      We should collapse it into fewer categories.

  • 8. 
    What are we talking about when we say that an indicator, such as a question on a survey, is a good measure of some concept?
    • A. 

      The survey item is descriptive.

    • B. 

      The survey item is reliable.

    • C. 

      The survey item has validity.

    • D. 

      The survey item avoids the ecological fallacy.

  • 9. 
    Which of the following is a nominal-level variable?
    • A. 

      Number of people in a family.

    • B. 

      Speed of travel of a car.

    • C. 

      Gender of students in a class.

    • D. 

      A person’s weight.

  • 10. 
    Which scale, or level of measure, would a variable be if it records a person’s “religious affiliation?"
    • A. 

      Ordinal

    • B. 

      Dichotomous

    • C. 

      Nominal

    • D. 

      Continuous

  • 11. 
    How is a proportion converted to a percentage?
    • A. 

      The proportion must be squared.

    • B. 

      The proportion must be divided by 10.

    • C. 

      The proportion must be multiplied by the square root of the sample size.

    • D. 

      The proportion must be multiplied by 100.

  • 12. 
    Examine the histogram below of a variable with scores that range from 0 to 10. Which of the following best describes its distribution?
    • A. 

      Unimodal

    • B. 

      Symmetric

    • C. 

      Bimodal

    • D. 

      Normally distributed

  • 13. 
    The mean tenure of a Member of Parliament is about 14 years. The variance is 4.41. How would we calculate the standard deviation for this distribution
    • A. 

      .

    • B. 

      14−4.41=9.59

    • C. 

      .

    • D. 

      .

  • 14. 
    Which measure of central tendency would be the MOST appropriate for summarizing data on program majors of university students?
    • A. 

      Median

    • B. 

      Mode

    • C. 

      Mean

    • D. 

      Range

  • 15. 
    What do measures of dispersion provide?
    • A. 

      They provide an indication of the size of a sample.

    • B. 

      They provide an indication of the variety of scores within a distribution.

    • C. 

      They provide an indication of the typical, or most representative, value in a distribution.

    • D. 

      They provide an indication of the adequacy of the selection criteria for the sample.

  • 16. 
    A dataset has a variable named "q23" which records responses to the following survey question: "How frequently do you do visit social networking websites?" Responses and their scores are as follows: 1- Several times a day. 2- Everyday or almost everyday. 3- Two to three times a week. 4- Once a week. 5- Two to three times a month. 6- Once a month, or less often. 7- Never. 8- I don't know. 9- I refuse to answer. Before conducting any sort of analysis, which of the following SPSS procedures should be executed?
    • A. 

      SELECT CASES q23.

    • B. 

      RECODE q23 (1 to 7=keep) (8,9=sysmiss) into q23b.

    • C. 

      COMPUTE socmedia = q23 - 8 - 9.

    • D. 

      MISSING VALUES q23 (8,9).

  • 17. 
    On a survey of 80 individuals (n=80), each respondent’s age was recorded (i.e., "scored") as follows: 1= younger than 18 years; 2= 18 to 21 years; and 3= older than 21 years. The researcher added up everyone’s scores, then divided by 80, to arrive at a mean score of 2.6. Which of the following statements is correct?
    • A. 

      The research made a mistake: The variable is continuous and should not be treated as ordinal

    • B. 

      The researcher computed the mean properly, although the correct mean is 2.63.

    • C. 

      The research made a mistake: The variable is ordinal and should not be treated as continuous.

    • D. 

      The researcher was correct, sort of: The variable is nominal and should not be treated as categorical, but in this case, that's probably okay.

  • 18. 
    A survey item asks respondents to indicate their ideological self-placement, on a scale of 1 to 9, where 1 indicates "far left," 9 indicates "far right," and 5 indicates "centrist." If they don't know or if they refuse to answer, a score of 88 was entered. The variable name for this survey item is "ideology." SPSS was used to recode this variable into three coherent categories, left, centre, right. Indicate the error that was made in this syntax. RECODE ideology (1,2,3=1) (4,5,6=2) (7,8,9=3) (ELSE=SYSMISS) into ideol3. VARIABLE LABELS ideol3 'Ideological group.' VALUE LABELS ideol3 1 'Left' 2 'Centre' 3 'Right'.
    • A. 

      In the VALUE LABELS command, the series of labels needs to be separated by a comma.

    • B. 

      Misplaced command terminator in the VARIABLE LABELS command.

    • C. 

      No central tendency command was included.

    • D. 

      In the RECODE command, the subcommand "into" needs to be UPPER CASE.

  • 19. 
    As part of a study on political polarization and conflict, researchers asked individuals in a community to indicate their party preferences (e.g., Liberal, Conservative, NDP, etc.). What measure should be used to determine the degree of political diversity in this community?
    • A. 

      Standard deviation around the mean.

    • B. 

      Histogram and box plots.

    • C. 

      The range.

    • D. 

      Index of Qualitative Variation.

  • 20. 
    Which of the following scenarios best describes a correct hypothesis test?
    • A. 

      The true population mean may be µ = 50, but a sample of 2100 yields a mean of 49 and a standard deviation of 19. There is a 99% chance that the true population proportion ranges somewhere between 47.9 to 50.1, therefore we can reject the null hypothesis given this low probability of error.

    • B. 

      The true population mean may be µ = 50, but a sample of 1300 yields a mean of 48, with a standard deviation of 23. This sample's statistics are improbable, so we reject the hypothesized value of 50 at p<.01.

    • C. 

      The true population mean may be µ = 50, but a sample of 5000 shows a mean of 46, which is four whole points away from 50. We therefore can reject the value of 50 at an alpha of .001, which corresponds to 3.3 z scores, much lower than the difference.

    • D. 

      The true population mean may be µ = 50, but a sample of 1300 yields a mean of 48, and a standard deviation of 23, which is not improbable. So we do not reject the hypothesized value of 50 at p<.10.

    • E. 

      The true population mean may be µ = 50, but a sample of 2100 yields a mean of 49 and a standard deviation of 19. There is a 95% chance that the true population proportion ranges somewhere between 48.2 and 49.8, therefore we cannot reject the null hypothesis as the probability of error is too high.

  • 21. 
    What is the study inferential statistics all about?
    • A. 

      Using math to study patterns in a way that allows us to derive a precise understanding of phenomena.

    • B. 

      Counting and enumerating phenomena so that we can effectively communicate our research.

    • C. 

      It assumes that all of reality is quantifiable, and thus, all reality can be explained in quantitative expressions.

    • D. 

      It addresses the problem of using samples to generalize about populations.

  • 22. 
    A sample of 25 university students indicates that 30% of them had voted in the last general election. What does this sample suggest about the population?
    • A. 

      Assuming a null hypothesis of .50, the calculated z score is 2, which is above 1.96, so reject the null hypothesis with the probability of committing a Type I error no greater than .05.

    • B. 

      Cannot infer anything as the sample is too small.

    • C. 

      A 99% confidence interval suggests 1% to 59% of university students had voted.

    • D. 

      A 95% confidence interval suggests 10.4% to 49.6% of university students had voted.

  • 23. 
    Which of the following about the standard normal probability distribution is correct? i) Its mean, mode, and median are all equal. ii) It is “bell shaped." iii) It is symmetric.
    • A. 

      Only I is correct

    • B. 

      Only ii and iii are correct

    • C. 

      All of the three choices are correct

    • D. 

      Only I and iii are correct

    • E. 

      None of the options are correct

  • 24. 
    The governing political party wants to know if it should call an election, assuming its standing with the electorate is strong. They figure their party has the support of 40% of voters, which is sufficient to being re-elected with a majority. How would you proceed? Which of the following illustrates a possible appropriate plan?
    • A. 

      You gather a sample of 2100 voters, and it shows the party’s level of support at 36.6%. You test this against the hypothesized 40%, and find that 40% is implausible (p<.001).

    • B. 

      You gather a sample of 350 voters, and the mean level of support is 42.5%, which is two-and-a-half points about the target of 40%. With an assumed standard deviation of about .50, this yields a 99% confidence interval ranging from 42.4% to 42.6%.

    • C. 

      You gather a sample of 600 voters, and it shows the party’s level of support at 37%. This is three full points below the 40%, so you do not advise calling an election at this time.

    • D. 

      You gather a sample of 2900 voters, and it shows the party’s level of support at 37.5%. You test this against the hypothesized 40%, and find that 40% is implausible (p<.05)

  • 25. 
    What does “significance” mean in the statistical sense?
    • A. 

      The probability of Type 1 and Type II errors has been adequately estimated to ensure that the test is valid.

    • B. 

      The difference detected in a hypothesis test is strong enough to have important implications in the real world.

    • C. 

      The sample used is large enough to be informative about the general population.

    • D. 

      The difference between a sample statistic and population parameter is unlikely to occur by random chance alone.

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