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The Following MINITAB Output Display Presents the Results of a Hypothesis

question 10

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The following MINITAB output display presents the results of a hypothesis test on the difference between two proportions. Test and CI for Two Proportions: P1, P2
 Variable XN Sample P P1 30720.41666667 P2 36970.37113402\begin{array} { l r r r } \text { Variable } & X & N & \text { Sample } P \\ \text { P1 } & 30 & 72 & 0.41666667 \\ \text { P2 } & 36 & 97 & 0.37113402 \end{array}
Difference =p(P1)=p(P2)= p ( \mathrm { P } 1 ) = p ( \mathrm { P } 2 )
Estimate for differenc:0.04553265
95\% CI for difference:(-0.10321537, 0.19428066)
T-Test of difference =0(= 0 ( vs not =0):Z=0.59996757P= 0 ) :Z =0.59996757 \quad P -Value =0.54852775= 0.54852775
Can you reject H0H _ { 0 } rejected at the α=0.05\alpha = 0.05 level?


Definitions:

George Homans

A foundational figure in sociology who is best known for his development of social exchange theory, which explains human behavior through the cost-benefit analyses of interactions.

Behavioral Outcomes

The observable and measurable actions or reactions of individuals or groups as a result of specific stimuli or interventions.

George Homans

An American sociologist known for his work in developing social exchange theory, which explains social behavior in terms of the exchange of goods, services, and recognition.

Value

The importance, worth, or usefulness of something, often influenced by social norms and individual perceptions.

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