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

question 107

Multiple Choice

Assume that you plan to use a significance level of $\alpha = 0.05 \text { to test the claim that } \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }$ , Use the given sample sizes and
numbers of successes to find the pooled estimate $\overline { \mathbf { p } }$ . Round your answer to the nearest thousandth.
- $$\begin{array} { l l } \mathrm { n } _ { 1 } = 100 & \mathrm { n } _ { 2 } = 100 \\\hat { \mathrm { p } } = 0.19 & \hat { \mathrm { p } _ { 2 } } = 0.16\end{array}$$

• A) 0.219
• B) 0.350
• C) 0.418
• D) 0.175

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Definitions:

Second Great Awakening

A period of religious revival in the United States that began in the late 18th century and continued into the early 19th century, characterized by widespread revivals and a strong sense of social justice and reform.

Social Reform

The process of enacting measures and changes in society with the intention of improving conditions and correcting injustices, often focusing on issues like poverty, education, and public health.

Second Great Awakening

A Protestant religious revival movement in the early 19th century United States, marked by a focus on personal piety, and social reforms.

Kentucky

A state located in the southeastern part of the United States, known for its horse racing, bourbon distilleries, and the historic Kentucky Derby.