A map website claims to be available 99.995% of the time (measured in minute long increments). Suppose
that we took random samples of n = 1000 minutes from the population of minutes in a year and
computed the proportion of minutes in each sample for which the website was available. We can assume
the website's claim is accurate.
What will be the shape of the sampling distribution of the proportions of minutes in which the website is
available?
Choose 1 answer:
O Approximately normal
Uniform
Skewed to the right
Skewed to the left

"The sampling distribution of proportion measures the proportion of success, i.e. a chance of occurrence of certain events, by dividing the number of successes i.e. chances by the sample size n".

For the given situation,

Total number of random samples = 1000

A map website claims to be available of time = 99.995%

⇒ [tex]0.99[/tex]

Let us assume the website's claim is accurate.

Sample proportions closest to 0.6 would be most common, and sample proportions far from 0.6 in either direction would be progressively less likely. In other words, the shape of the distribution of sample proportion should bulge in the middle and taper at the ends: it should be somewhat normal.

Hence we can conclude that the shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.

Learn more about the sampling distribution of the proportion here

https://brainly.com/question/18957309

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