SOLUTION: Are attitudes toward shopping changing? Sample surveys show that fewer people enjoy shopping than in the past. A recent survey asked a nationwide random sample of 2577 adults if th

Question 248992: Are attitudes toward shopping changing? Sample surveys show that fewer people enjoy shopping than in the past. A recent survey asked a nationwide random sample of 2577 adults if they agreed or disagreed that "I like buying new clothes, but shopping is often frustrating and time-consuming." The population that the poll wants to draw conclusions about is all U.S. residents aged 18 and over. Suppose that in fact 62% of all adult U.S. residents would say "Agree" if asked the same questions. What is the probability that 1610 or more of the sample agree?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Are attitudes toward shopping changing?
Sample surveys show that fewer people enjoy shopping than in the past.
A recent survey asked a nationwide random sample of 2577 adults if they agreed or disagreed that "I like buying new clothes, but shopping is often frustrating and time-consuming."
The population that the poll wants to draw conclusions about is all U.S. residents aged 18 and over.
Suppose that in fact 62% of all adult U.S. residents would say "Agree" if asked the same questions.
What is the probability that 1610 or more of the sample agree?
----------------------------------------------
population mean = sample mean = 0.62
sample std = sqrt[0.62*0.38/2577] = 0.0096
sample proportion = 1610/2577 = 0.6240
z(0.6240) = (0.6240-0.62)/0.0096 = 0.4167
P(x >= 1610) = P(z >= 0.4167) = 0.3385
=========================================
Cheers,
Stan H.
--

RELATED QUESTIONS
Please help me solve probability question. A sample of 500 respondents was selected in (answered by Boreal)

Please help me solve probability question. A sample of 500 respondents was selected in a (answered by Boreal,jim_thompson5910)

A sample of 500 shoppers was selected in a large metropolitan are to determine various... (answered by Theo)

A sample of 500 shoppers was selected in a large metropolitan are to determine various... (answered by stanbon)

Executives of a supermarket chain are interested in the amount of time that customers... (answered by textot)

In a survey, 30 people reported that they enjoy some combination of walking, hiking, and... (answered by KMST)

Here are the shopping times (in minutes) for a sample of 6 shoppers at a particular... (answered by Mathtut)

Executives of a supermarket chain are interested in the amount of time that customers... (answered by edjones,richard1234)

According to recent surveys, 60% of households have personal computers. If a random... (answered by addingup)