NVCC Statistics Performing a Chi Square Test Questions
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the number of degrees of freedom that we have when finding the critical X value?
2. We would like to know whether occupation is associated with the outcome of developing skin
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cancer. We obtain data from five different occupation categories (business owner, farmer,
teacher, doctor, and lawyer) on skin cancer occurrence (whether the person developed skin
cancer, or did not develop skin cancer). We would like to perform a chi-square test to examine
the association between occupation category and skin cancer occurrence. Which type of chisquare test would we perform?
Which of the following significance tests is known as a global or omnibus test, where we can only
have a non directional research hypothesis?
You ask 200 COVID-19 patients the extent to which they agree with the following statement: I felt
that the COVID-19 isolation guidelines shared with me were easy to understand. Patients could
respond with one of the following answers: Strongly disagree, Disagree, Agree, or Strongly agree.
How many patients would you expect to fall into each response category, according to random
chance?
Are chi-square tests parametric or nonparametric significance tests?
We are performing a Chi-Square Test of Independence on two factors. Our first factor has 3
categories, while our second factor has 2 categories. What is the number of degrees of freedom
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that we have when finding the critical X value?
7. You perform a Chi-Square Test for Goodness of Fit on a factor with five categories. Your alpha
value, or level of significance, is set to 0.10. You calculate your chi-square test statistic, which is
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9.67. Does your obtained test statistic exceed the critical X value?
8. You are performing a Chi-Square Test of Independence on a sample of 200 participants to
determine if gender is associated with whether someone visited a primary care physician (PCP)
within the past year. Out of these 200 participants, 100 are males, and 100 are females. 150 out
of the 200 participants visited a PCP within the past year, while 50 did not. What would be the
expected frequency of males who visited a PCP within the past year?
9. We would like to perform a t test for dependent samples, but learn that the assumption of
normally distributed differences between paired values has been violated in our dataset. What do
we do next?
10. You are performing a chi-square test as part of a research study and your null hypothesis is the
following:
There is no association between Factor 1 and Factor 2; these factors are independent from one
another. Which type of chi-square test are you performing?
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