Assume That You Plan to Use a Significance Level Of \alpha

question 71

Multiple Choice

Assume that you plan to use a significance level of $\alpha = 0.05$ test the claim that p $\mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }$ , Use the given sample sizes and
numbers of successes to find the pooled estimate $\overline { \mathrm { p } }$ . Round your answer to the nearest thousandth.
- $$\begin{array} { l l } \mathrm { n } _ { 1 } = 35 & \mathrm { n } _ { 2 } = 485 \\\mathrm { x } _ { 1 } = 13 & \mathrm { x } _ { 2 } = 189\end{array}$$

• A) 0.310
• B) 0.155
• C) 0.388
• D) 0.466

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Definitions:

Normally Distributed

A statistical distribution where data is symmetrically distributed around the mean, forming a bell-shaped curve.

Independent Samples

Samples in which the selection of individuals in one sample does not influence, or is not related to, the selection of individuals in another sample.

Selection Process

The method by which candidates are screened and selected for a position, task, or inclusion in a study, often involving steps like application, assessment, and interview.

Expected Value

The anticipated value of a variable in a probability distribution; it represents the mean of the distribution.