The Numbers of Successes and the Sample Sizes Are Given $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 60 , \mathrm { x } _ { 2 } = 29 , \mathrm { n } _ { 2 } = 77 ; 95 \%$

question 73

Multiple Choice

The numbers of successes and the sample sizes are given for independent simple random samples from two populations.Use the two-proportions plus-four z-interval procedure to obtain the specified confidence interval.
- $\mathrm { x } _ { 1 } = 27 , \mathrm { n } _ { 1 } = 60 , \mathrm { x } _ { 2 } = 29 , \mathrm { n } _ { 2 } = 77 ; 95 \%$ confidence interval

• A)\(0.288\) to \(0.615\)
• B) \(- 0.122\) to \(0.646\)
• C) \(- 0.092\) to \(0.236\)
• D) \(0.258\) to \(0.646\)

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Definitions:

Treatments

Interventions or actions taken in a research study to investigate their effects on an outcome of interest.

Critical Value

A point on a statistical distribution that represents a threshold beyond which an observed test statistic is considered significant.

P-value

The chance of achieving results from a test that are at minimum as critical as what was actually noted, on the condition that the null hypothesis holds.

Treatment Means

The average outcomes or effects of different treatments or conditions in a study.