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The Following MINITAB Output Display Presents the Results of a Hypothesis

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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:

Rational Subgroups

Groupings within a data set that are formed based on logical or natural relationships, often used in quality control to evaluate variation within and between these groups.

Item-To-Item Variation

The variability in characteristics or attributes between individual items within a batch or sample.

Special Causes

Variations in a process that are caused by specific, identifiable factors, distinguishing them from random, common causes of variation.

Elements of Unsaturation

Calculations used to determine the degree of unsaturation within a molecule, indicating the presence of rings, double bonds, or triple bonds.

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