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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 observed data into a matrix on the TI-84.
  • How do you access the matrix menu on a TI-84 calculator?

    Press the '2nd' button and then the 'x^-1' button, which has 'Matrix' written above it.
  • 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 does the alternative hypothesis state in a chi-square test of independence?

    The alternative hypothesis states that the variables are dependent.
  • Which matrix should you use for observed frequencies when running the chi-square test on a TI-84?

    You should use Matrix A for observed frequencies, as that's where you entered your data.
  • How does the TI-84 calculate expected frequencies for the chi-square test?

    The TI-84 automatically calculates expected frequencies using the same formulas as manual calculations.
  • What is the significance level (alpha) commonly used in chi-square tests?

    A common significance level is 0.05.
  • What do you do if the p-value is less than the significance level alpha in a chi-square test?

    If the p-value is less than alpha, you reject the null hypothesis.
  • What does rejecting the null hypothesis in a chi-square test of independence indicate?

    It indicates there is enough evidence to conclude the variables are dependent.
  • Which menu do you access to run the chi-square test function on the TI-84?

    You access the 'Stat' button, scroll to the 'Tests' menu, and select option C, the chi-square test.
  • Why must the expected frequencies be stored in a different matrix than the observed frequencies on the TI-84?

    Expected frequencies must be stored in a different matrix so the calculator can keep observed and expected values separate.
  • What is the main difference between independence tests and homogeneity tests on the TI-84?

    The main difference is in how you word the hypotheses and conclusions; the calculation steps are the same.
  • What should you check before calculating the chi-square test on the TI-84?

    Ensure observed frequencies are in Matrix A and expected frequencies are set to a different matrix, such as Matrix B.
  • What is the purpose of comparing the p-value to alpha in a chi-square test?

    Comparing the p-value to alpha helps determine whether to reject or fail to reject the null hypothesis.
  • Can the TI-84 be used for both independence and homogeneity tests, and if so, what must be adjusted?

    Yes, the TI-84 can be used for both; you must adjust the wording of the hypotheses and conclusions.