1. Website An investment company is planning to upgrade the mobile access to their website, but they'd like to know the proportion of their customers who access it from their smartphones. They draw a random sample of 200 from customers who recently logged in and check their IP address. Suppose that the true proportion of smartphone users is 36%. a) What would you expect the shape of the sampling distribution for the sample proportion to be? b) What would be the mean of this sampling distribution? c) What would be the standard deviation of the sampling distribution?
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This is because the sample size is large enough (n=200) and the conditions of the Central Limit Theorem are met. Show more…
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Website An investment company is planning to upgrade the mobile access to their website, but they'd like to know the proportion of their customers who access it from their smartphones. They draw a random sample of 200 from customers who recently logged in and check their IP address. Suppose that the true proportion of smartphone users is 36%. a) What would you expect the shape of the sampling distribution for the sample proportion to be? b) What would be the mean of this sampling distribution? c) What would be the standard deviation of the sampling distribution?
Lucas F.
An investment website can tell what devices are used to access the site. The site managers wonder whether they should enhance the facilities for trading via "smart phones", so they want to estimate the proportion of users who access the site that way (even if they also use their computers sometimes). They draw a random sample of 200 investors from their customers. Suppose that the true proportion of smart phone users is 36%. a) What would the standard deviation of the sampling distribution of the proportion of the smart phone users be? b) What is the probability that the sample proportion of smart phone users is greater than 0.36? c) What is the probability that the sample proportion is between 0.31 and 0.41? d) What is the probability that the sample proportion is less than 0.29? e) What is the probability that the sample proportion is greater than 0.43?
Supreeta N.
An investment website can tell what devices are used to access their site. The site managers wonder whether they should enhance the facilities for trading via smartphones so they want to estimate the proportion of users who access the site that way. They draw a random sample of 283 investors from their customers. Suppose that the true proportion of smartphone users is 28%. What would the managers expect the standard error of the sampling distribution for the sample proportion to be? Round to three decimal places.
David N.
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