a.
To determine: The expectations for 120 red, 100 white.
Introduction: In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables.
b.
To determine: The expectations for 5000 red, 5400 white.
Introduction: The use of a chi-square table that we will examine is to determine a critical value. Critical values are essential in both hypothesis tests and confidence intervals.
c.
To determine: The expectations for 500 red, 540 white
Introduction: The Chi-square value is a single number that adds up all the differences between our actual data and the data expected if there is no difference. If the real data and expected data are identical, the Chi-square value is 0.
d.
To determine: The expectations for 50 red, 54 white.
Introduction: The Chi-square test is intended to test how likely it is that an observed distribution is due to chance. It is also called a "goodness of fit" statistic because it measures how well the observed distribution of data fits with the distribution that is expected if the variables are independent.

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Chapter 3 Solutions
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