A Two-Sample $z$ -Test for Two Population Proportions Is to Be Performed Using

question 14

Multiple Choice

A two-sample $z$ -test for two population proportions is to be performed using the $P$ -value approach. The null hypothesis is $H _ { 0 } : p _ { 1 } = p _ { 2 }$ and the alternative is $H _ { A } : p _ { 1 } \neq p _ { 2 }$ . Use the given sample data to find the $p$ -value for the hypothesis test. Give an interpretation of the $p$ -value.

$$n _ { 1 } = 200 , x _ { 1 } = 11 , n _ { 2 } = 100 , \text { and } x _ { 2 } = 8$$

• A) \(P\)-value \(= 0.402\); If there is no difference in the proportions, there is a \(40.2 \%\) chance of seeing the exact observed difference by natural sampling variation.
• B) \(P\)-value \(= 0.1011\); There is about a \(10.11 \%\) chance that the two proportions are equal.
• C) \(P\)-value \(= 0.0201\); There is about a \(2.01 \%\) chance that the two proportions are equal
• D) \(P\)-value \(= 0.402\); If there is no difference in the proportions, there is about a \(40.2 \%\) chance of seeing the observed difference or larger by natural sampling variation.
• E) \(P\)-value \(= 0.0201\); If there is no difference in the proportions, there is about a \(2.01 \%\) chance of seeing the observed difference or larger by natural sampling variation.

Understand concepts like "rule of reason" and its application in antitrust cases.

Identify legislative acts related to antitrust regulation and their implications for business practices.

Distinguish between legal and illegal business practices under antitrust laws.

Understand the role of government agencies in enforcing antitrust laws and their impact on market competition.

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Definitions:

Depreciates

The process of allocating the cost of tangible assets over their useful lives, reflecting the decrease in value over time.

Revenues

The income generated from normal business operations and includes discounts and deductions for returned merchandise.

Required Rate

A specific rate of return or interest rate required by investors or lenders to compensate for the risk of an investment or loan.

Net Present Value

A financial metric used to determine the current value of a series of future cash flows, adjusted for time and interest.