Question: Critical Thinking: Different Confi dence Levels (a) Suppose that a 95% confi dence interval for a difference of proportions contains both positive and negative numbers.

Critical Thinking: Different Confi dence Levels

(a) Suppose that a 95% confi dence interval for a difference of proportions contains both positive and negative numbers. Will a 99% confi dence interval based on the same data necessarily contain both positive and negative numbers? Explain. What about a 90% confi dence interval? Explain.

(b) Suppose that a 95% confi dence interval for a difference of proportions contains all positive numbers. Will a 99% confi dence interval based on the same data necessarily contain all positive numbers as well? Explain.

What about a 90% confi dence interval? Explain.

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