To Construct a Confidence Interval for the Difference of Two $5 \%$

question 7

Multiple Choice

To construct a confidence interval for the difference of two population proportions the samples must be independently obtained random samples, both must consist of less than $5 \%$ of the population, and

• A) both np1 \(( 1 - \hat { p } 1 ) \geq 10\) and \(n \mathrm { p } 2 \left( 1 - \hat { p } _ { 2 } \right) \geq 10\) must be true.
• B) only one of \(\hat { \mathrm { np } 1 } ( 1 - \hat { \mathrm { p } } 1 ) \geq 10\) or \(\hat { n p } _ { 2 } ( 1 - \hat { \mathrm { p } } 2 ) \geq 10\) must be true,
• C) \(\hat { n p 1 } ( 1 - \hat { p } 1 ) + \hat { n p } _ { 2 } ( 1 - \hat { p } 2 ) \geq 20\).
• D) \(\mathrm { np } 1 \left( 1 - \hat { p } _ { 1 } \right) \mathrm { np } 2 \left( 1 - \hat { p } _ { 2 } \right) \geq 100\). 4 Test hypotheses regarding two proportions from dependent samples.

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Definitions:

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