Question

From a study on Games Market Revenue, games in smartphones and watches are expected to take 34% of the worldwide market in 2019. From a survey of 500 randomly selected gamers, 190 play on their smartphones and watches. If the true proportion of smartphone/watches market share is really 34%, what is the probability of observing 190 or more smartphone/watches players in a sample of 500? Use the Normal approximation to binomial distribution to solve this problem if appropriate.

Answer 1

Solution:

It would be appropriate to use the normal distribution, because:

We know that:

We are required to find:

Now using the z-score formula, we have:

Now using the standard normal table, we have:

Therefore, the probability of observing 190 or more smartphone/watches players in a sample of 500 is 0.0295