1. Which of the following accurately describes the observed and expected frequencies in a chi-square test?a. Both the observed and expected frequencies will always be whole numbers.b. The observed frequencies are always whole numbers but the expected frequencies may be decimals or fractions.c. The expected frequencies are always whole numbers but the observed frequencies may be decimals or fractions. d. Both the observed and expected frequencies may be decimals or fractions.2. What does it mean to obtain a negative value for the chi-square statistic?a. The observed frequencies tend to be larger than the expected frequencies.b. The expected frequencies tend to be larger than the observed frequencies.c. There are large discrepancies between the observed and expected frequencies for most categories.d. The chi-square statistic can never be negative.

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Vasquez · Accepted Answer

In the chi-square test, observed frequencies are given to us, and we calculate the expected frequencies from the observed frequencies using chi-square test. The expected frequencies are always whole numbers as we count the number of occurrences, While the observed frequencies are calculated, so they can be whole numbers or may have decimals. Hence option b is correct. As the chi-squared statistic is calculated using the formula ∑i(Oi−Ei)2Ei Hence it cannot be negative. option d is correct.

1. Which of the following accurately describes the observed and expected frequencies in a chi-square

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