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A random sample of 450 shoppers at Quincy Mall found that 125 favored longer shopping hours. Is this sufficient evidence at the 0.05 level of significance to conclude that less than 30% of the shoppers at Quincy Mall favor longer hours?

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nandhini123

Answer:

This data is not sufficient evidence to say that less than 30% of the buyer favor longer hours.

Explanation:

The given information is:

[tex]\alpha[/tex] = 0.05

n = 450

c =[tex]\frac{ 125}{450}[/tex] = 0.27778

The variable we are concerned with is X = c of buyer who favor long hours.

The proportion of buyer who prefer longer hours is then [tex]p = \frac{X}{n}[/tex].

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