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SCENARIO 13-19
the Marketing Manager for a Nationally Franchised Lawn

question 208

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SCENARIO 13-19
The marketing manager for a nationally franchised lawn service company would like to study the characteristics that differentiate home owners who do and do not have a lawn service.A random sample of 30 home owners located in a suburban area near a large city was selected; 11 did not have a lawn service (code 0) and 19 had a lawn service (code 1).Additional information available
concerning these 30 home owners includes family income (Income, in thousands of dollars) and lawn size (Lawn Size, in thousands of square feet).
The PHStat output is given below:
Binary Logistic Regression  Predictor  Coefficients  SE Coef Zp-Value  Intercept 7.85623.82242.05530.0398 Income 0.03040.01332.28970.0220 Lawn Size 1.28040.69711.83680.0662 Deviance 25.3089\begin{array}{l}\begin{array} { l r r r r } \hline { \text { Predictor } } & \text { Coefficients } & \text { SE Coef } & { Z } & p \text {-Value } \\\hline \text { Intercept } & - 7.8562 & 3.8224 & - 2.0553 & 0.0398 \\\text { Income } & 0.0304 & 0.0133 & 2.2897 & 0.0220 \\\text { Lawn Size } & 1.2804 & 0.6971 & 1.8368 & 0.0662\\\text { Deviance } & 25.3089\end{array}\\\end{array}
-Referring to SCENARIO 13-19, what is the estimated probability that a home owner with a family income of $50,000 and a lawn size of 5,000 square feet will purchase a lawn service?


Definitions:

Cognitive Dissonance

The mental discomfort experienced by an individual who holds two or more contradictory beliefs, ideas, or values at the same time.

Emotional Discomfort

A feeling of unease or distress associated with difficult emotions or situations.

Group Responsibility

The concept that a collective group can be held accountable or responsible for actions or outcomes, often in a social or work context.

Moderate Expertise

A level of skill or knowledge that is above average but not at the level of an expert in a particular field.

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