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The Table Shows the Number of Smokers in a Random 202420 - 24

question 22

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The table shows the number of smokers in a random sample of 500 adults aged 202420 - 24 and the number of smokers in a random sample of 450 adults aged 25-29. Assume that you plan to use a significance level of α=0.10\alpha = 0.10 to test the claim that p1p2\mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 } . Find the critical value(s) for this hypothesis test. Do the data provide sufficient evidence that the proportion of smokers in the 20-24 age group is different from the proportion of smokers in the 25-29 age group?
 Age 20-24  Age 25-29  Number in sample 500450 Number of smokers 11063\begin{array}{lcc}\hline & \text { Age 20-24 } & \text { Age 25-29 } \\\hline \text { Number in sample } & 500 & 450 \\\text { Number of smokers } & 110 & 63 \\\hline\end{array}

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Definitions:

Situationally Specific

Pertaining to or applicable in particular situations rather than universally or generally.

Conscious Thought

The awareness and deliberate use of one's mind to consider ideas, make decisions, and form judgments.

Innate Factors

Natural, inherent elements or conditions that influence an individual's development or characteristics from birth.

Mood

A temporary state of mind or feeling that can influence an individual's perception and behavior.

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