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Independence Test Using TI-84 quiz

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  • What is the first step when performing a chi-square test of independence on a TI-84 calculator?
    The first step is to enter your categorical data as a matrix in the calculator.
  • How do you access the matrix menu on a TI-84 calculator?
    Press the 'second' button and then the 'x^-1' button, which has 'matrix' above it.
  • What should you do after entering your data into a matrix on the TI-84?
    After entering your data, you should access the 'stat' button, scroll to the 'test' menu, and select the chi-square test function.
  • Which matrix should contain your observed frequencies when running a chi-square test on the TI-84?
    Matrix A should contain your observed frequencies, as that's where you entered your data.
  • What does the TI-84 calculator do with the expected frequencies during a chi-square test?
    The calculator automatically calculates the expected frequencies and stores them in a different matrix, such as Matrix B.
  • What is the null hypothesis in a chi-square test of independence?
    The null hypothesis states that the variables are independent of each other.
  • What is the alternative hypothesis in a chi-square test of independence?
    The alternative hypothesis states that the variables are dependent on each other.
  • How do you determine whether to reject the null hypothesis in a chi-square test using the TI-84?
    Compare the p-value to the alpha level; if the p-value is less than alpha, reject the null hypothesis.
  • What does a p-value smaller than the alpha level indicate in a chi-square test of independence?
    It indicates that there is enough evidence to conclude the variables are dependent.
  • What is the typical alpha level used in chi-square tests of independence?
    A typical alpha level is 0.05.
  • How are homogeneity tests similar to independence tests on the TI-84?
    They use the same steps on the calculator, but the hypotheses and conclusions are worded differently.
  • What must you adjust when performing a homogeneity test instead of an independence test?
    You must adjust the wording of the hypotheses and the conclusion.
  • What is the purpose of the chi-square test function on the TI-84?
    It compares observed and expected frequencies to test for independence or homogeneity between categorical variables.
  • Why is it important to use a different matrix for expected frequencies than for observed frequencies on the TI-84?
    Using a different matrix prevents overwriting your original data and allows the calculator to store expected values separately.
  • What is the conclusion if the p-value is 1.7 x 10^-7 and the alpha is 0.05 in a chi-square test?
    Since the p-value is much smaller than alpha, you reject the null hypothesis and conclude the variables are dependent.