In a Simple Random Sample of Size 78, There Were $H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51$

question 86

Short Answer

In a simple random sample of size 78, there were 20 individuals in the category of interest. It is desired to test $H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51$
i). Compute the sample proportion $\hat { p }$ .
ii). It is desired to test H₀: p=0.51 versus H1: p>0.51 Compute the test statistic z.
iii). Do you reject H₀ at the 0.01 level?

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Definitions:

Large Molecules

Molecular compounds that have a high molecular weight, demonstrating complex structures and often performing critical roles in biological systems and industrial applications.

Monomers

Monomers are small molecules that can join together with other similar molecules to form polymers.

Carbohydrate

Organic compounds, including sugars, starches, and cellulose, which serve as a major energy source for the body.

Lipid

A broad group of naturally occurring molecules including fats, oils, waxes, and certain vitamins, essential for energy storage and cell structure.