Question

Refer to the data in the previous question. What is the chi-square value for this experiment?

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Long wing, gray body 462

Long wing, ebony body 167

Short wing, gray body 127

Short wing, ebony body 44
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Answer 1

To find the chi-square value for this experiment, calculate the expected frequencies for each category and then use the formula chi-square = Σ [(observed - expected)^2 / expected]. The degrees of freedom can be calculated as (number of rows - 1) * (number of columns - 1).

Step-by-step explanation:

The chi-square value for this experiment can be calculated by following these steps:

1. Calculate the expected frequencies for each category by multiplying the row total and column total and dividing by the grand total.
2. Calculate the chi-square value by summing up the squared differences between the observed and expected frequencies, divided by the expected frequency.
3. Here is an example calculation:

Long wing Short wing Total Gray body 462 127 589 Ebony body 167 44 211 Total 629 171 800

Expected frequency for 'Long wing, gray body': (589 * 629) / 800 = 462.3625

The chi-square value can then be calculated using the formula:

chi-square = Σ [(observed - expected)^2 / expected]

The degrees of freedom for this test can be calculated as

(number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

Using the chi-square distribution table, you can find the critical value for a given significance level and degrees of freedom to determine the p-value.