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Sample size & Chi-square questions

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1. Why do the critical values from the Chi-square distribution get larger as the degrees of freedom get larger? Recall that this is opposite the pattern for the t-table.

2. Why is choosing sample size important(with specific reference to proportions)?

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Sample size & Chi-square questions
1. Why do the critical values from the Chi-square distribution get larger as the degrees of freedom get larger? Recall that this is opposite the pattern for the t-table.

When we test a hypothesis that uses the Chi-square distribution as the reference distribution, the critical value is the value that "cuts off" a small area in the right tail of the distribution. It's a large percentile of the distribution, usually the 90th, 95th, or 99th percentile.
Chi-square is a family of distributions with many different members. Any particular member of the chi-square family of distributions is defined by a single ...

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The attached 400 word solution gives detailed explanations that discuss the sample size and chi-square questions.

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