Question

Scientists claim that a type of insect inherits wing colors in a ratio of 3:3:1 of black, red, and yellow. A sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings. What is the approximate P-value for the chi-square goodness of fit test

Answer 1

The p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

What is the chi-square test?

A hypothesis testing method is the Chi-square test. Two popular Chi-square tests involve comparing observed and expected frequencies in one or more categories.

The expected proportions are:

3/7, 3/7, 1/7 respectively

Test stasisttics = 0.978

Df = n -1 = 3 - 1 = 2

P-value = 0.622

Thus, the p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

Learn more about the chi-square test here:

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