In a Simple Random Sample of Size 88, There Were $H _ { 0 } : p = 0.31 \text { versus } H _ { 1 } : p < 0.31$

question 17

Multiple Choice

In a simple random sample of size 88, there were 22 individuals in the category of interest. It is desired to test $H _ { 0 } : p = 0.31 \text { versus } H _ { 1 } : p < 0.31$ . Compute the test statistic z.

• A) 0.05
• B) -1.22
• C) 0.25
• D) 4.97

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Definitions:

μ

The symbol representing the mean (average) of a population in statistics.

T-Statistic

Re-defined: A value calculated from sample data during a t-test, used to assess the significance of the difference between two sample means.

α

Represents the level of significance in hypothesis testing, typically set at 0.05 or 5%.

P > .05

A statistical expression indicating that the probability of the observed data, or something more extreme, if the null hypothesis is true, is greater than 5%.