SOLUTION: A sales clerk in a departmental store claims that 60 % of the shoppers entering the store leave without making a purchase . A random sample of 50 shoppers showed that 35 of them le

Algebra ->  Probability-and-statistics -> SOLUTION: A sales clerk in a departmental store claims that 60 % of the shoppers entering the store leave without making a purchase . A random sample of 50 shoppers showed that 35 of them le      Log On


   

Question 74933: A sales clerk in a departmental store claims that 60 % of the shoppers entering the store leave without making a purchase . A random sample of 50 shoppers showed that 35 of them left without buying anything . Are these sample results consistent with the claims of the sales clerk ? test at signifincance level of 0.01 .
Answer by stanbon(75887) About Me  (Show Source):
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A sales clerk in a departmental store claims that 60 % of the shoppers entering the store leave without making a purchase . A random sample of 50 shoppers showed that 35 of them left without buying anything . Are these sample results consistent with the claims of the sales clerk ? test at signifincance level of 0.01 .
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Ho: p=0.6
Ha: p is not 0.6
x=35 when n=50 implies that p-hat=35/50=0.7
z(0.7)=(0.7-0.6)/sqrt[(0.6*0.4)/50)=0.1/sqrt0.0048=0.1/0.069=1.44
p value = 0.07
Since p value > alpha, Fail to Reject Ho.
Conclusion.
The sales clerk's opinon is about right.
Cheers,
Stan H.