A market researcher selects a simple random sample of n = 100 users of a social

Question

A market researcher selects a simple random sample of n = 100 users of a social media website from a population of over 100 million registered users. After analyzing the sample, she states that she has 95% confidence that the meantime spent on the site per day is between 15 and 57 minutes. Explain the meaning of this statement. During any given day there is a 95% chance that the mean time all registered users spent on the site was between 15 and 57 minutes. One is 95% confident that the true mean time all registered users spend on the site per day is between 15 and 57 minutes Of the over 100 million registered users, 95% of them spend between 15 and 57 minutes on the site per day. There is a 95% chance that a randomly selected registered user spends between 15 and 57 minutes on the site per day.

Explanation / Answer

Were are given that the researcher states that she has 95% confidence that the mean time spent on site per day lies in the interval (15,57) minutes.

By this statement she means that if a user is selected out of the entire population, there is 95% chance that he/she spends between 15 and 57 minutes on the site per day i.e. the chance of this happening is at least 95%.

Hence the correct option is option D.

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