Question

In: Statistics and Probability

A researcher plans to conduct a marketing experiment to decide which shampoo has the better floral...

A researcher plans to conduct a marketing experiment to decide which shampoo has the better floral scent considering only two brands, "red" shampoo or "pink" shampoo. A sample of 190 people were chosen assuming that they can distinguish between the different scents. What are the symmetrical limits of the population percentage within which the sample percentage is contained with a probability of 90%?

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Expert Solution

When we symmetrical limits for population proportion means

we have to use the sample proportion to be 0.5.

Therefore (% confidence interval for population proportion is

= 0.50

   =1 - 0.90 = 0.10

The critical value at

=

= 1.645

n = 190

Substituting the values

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