Independent Random Samples, Each Containing 500 Observations Were Selected from Two

question 31

Essay

Independent random samples, each containing 500 observations were selected from two binomial populations. The samples from populations 1 and 2 produced 210 and 320 successes, respectively $\text { Test } H _ { 0 } : \left( p _ { 1 } - p _ { 2 } \right) = 0 \text { against } H _ { \mathrm { a } } : \left( p _ { 1 } - p _ { 2 } \right) < 0 \text {. Use } \alpha = .05$

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Definitions:

Interval Estimate

An estimate of a population parameter that provides a range of values believed to contain the parameter with a certain level of confidence.

Population Mean

The average of a set of values, taken from the entire population of data.

Confidence Level

The probability that a population parameter will fall between a set of values for a certain proportion of times.

Confidence Interval

A range of values, derived from sample data, that is likely to contain the value of an unknown population parameter with a specified level of confidence.