An investment website can tell what devices are used to access the site. The site managers...

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Statistics

An investment website can tell what devices are used to accessthe site. The site managers wonder whether they should enhance thefacilities for trading via​ \"smart phones\", so they want toestimate the proportion of users who access the site that way​(even if they also use their computers​ sometimes). They draw arandom sample of

200200

investors from their customers. Suppose that the true proportionof smart phone users is

3737​%.

​a) What would the standard deviation of the samplingdistribution of the proportion of the smart phone users​ be?

. 034.034

​(Round to three decimal places as​ needed.)

​b) What is the probability that the sample proportion of smartphone users is greater than

0.370.37​?

. 5.5

​(Round to three decimal places as​ needed.)

​c) What is the probability that the sample proportion isbetween

0.320.32

and

0.420.42​?

. 858.858

​(Round to three decimal places as​ needed.)

​d) What is the probability that the sample proportion is lessthan

0.300.30​?

. 02.02

​(Round to three decimal places as​ needed.)

​e) What is the probability that the sample proportion isgreater than

0.440.44​?

______

​(Round to three decimal places as​ needed.)

Answer & Explanation Solved by verified expert
4.4 Ratings (827 Votes)
n200 is the sample sizep037 is the true proportion of smart phone usersa the standard deviation also called the standard error ofthe sampling distribution of the proportion of the smart phoneusers isans the standard deviation also    See Answer
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