Solve the Problem $\mathrm { p }$ Can Be Written As $\mathrm { p } < \hat { \mathrm { p } } + \mathrm { E }$

question 19

Multiple Choice

Solve the problem.
-A one-sided confidence interval for $\mathrm { p }$ can be written as $\mathrm { p } < \hat { \mathrm { p } } + \mathrm { E }$ or $\mathrm { p } > \hat { \mathrm { p } } - \mathrm { E }$ where the margin of error $\mathrm { E }$ is modified by replacing $\mathrm { z } _ { \alpha / 2 }$ with $\mathrm { z } _ { \alpha }$ . If a teacher wants to report that the fail rate on a test is at most $x$ with $90 \%$ confidence, construct the appropriate one-sided confidence interval. Assume that a simple random sample of 74 students results in 8 who fail the test.

• A) \(\mathrm { p } < 0.167\)
• B) \(\mathrm { p } < 0.154\)
• C) \(\mathrm { p } < 0.062\)
• D) \(p > 0.062\)

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Definitions:

Stereochemistry

The branch of chemistry that involves the study of the spatial arrangement of atoms in molecules and their effects on the chemical and physical properties of substances.

Reaction Pathway

The sequence of chemical reactions or steps leading from reactants to products, illustrating the process and intermediates formed.

Likely Products

The most probable substances formed as the outcome of a chemical reaction, based on reactants and conditions.

Predominate Product

The product in a chemical reaction that is formed in greater quantity compared to any other products, often due to its more favorable energy state or kinetic pathway.