Two samples are taken with the following numbers of successes and sample sizes r1 = 21 r₂ = 40 n₁ = 73 n₂ = 54 Find a 94% confidence interval, round answers to the nearest thousandth. < P1 P2 <

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Two samples are taken with the following numbers of successes and sample sizes:

\( r_1 = 21, \, r_2 = 40 \)

\( n_1 = 73, \, n_2 = 54 \)

Find a 94% confidence interval, round answers to the nearest thousandth.

\[ \boxed{\phantom{000}} < p_1 - p_2 < \boxed{\phantom{000}} \]
Transcribed Image Text:Two samples are taken with the following numbers of successes and sample sizes: \( r_1 = 21, \, r_2 = 40 \) \( n_1 = 73, \, n_2 = 54 \) Find a 94% confidence interval, round answers to the nearest thousandth. \[ \boxed{\phantom{000}} < p_1 - p_2 < \boxed{\phantom{000}} \]
Expert Solution
Step 1

We have given that

r1 = 21, n1 = 73

r2 = 40, n2 = 54

Confidence level (c) = 94% = 0.94

Significance level (α) = 1 - c = 1 - 0.94 = 0.06

 

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