Suppose a marketing company computed a 94% confidence interval for the true proportion of customers who click on ads on their smartphones to be (0.56, 0.62). Select the correct answer to interpret this interval.

a. A 98% of customers click on ads on their smartphones.

b. We are 98% confident that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

c. We are 98% confident that the true proportion of customers who click on ads on their smartphones is 0.59.

d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

Question

Mathematics

Janiya Oliver

26 May, 13:05

Suppose a marketing company computed a 94% confidence interval for the true proportion of customers who click on ads on their smartphones to be (0.56, 0.62). Select the correct answer to interpret this interval.

a. A 98% of customers click on ads on their smartphones.

b. We are 98% confident that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

c. We are 98% confident that the true proportion of customers who click on ads on their smartphones is 0.59.

d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

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Answers (1)

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Andres Carson · Answer 1

d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

Step-by-step explanation:

Confidence interval:

x% confidence

Of a sample

Between a and b.

Interpretation: We are x% sure (or there is a x% probability/chance) that the population mean is between a and b.

In this question:

I suppose (due to the options) there was a small typing mistake, and we have a 98% confidence interval between 0.56 and 0.62.

Interpreation: We are 98% sure, or there is a 98% chance, that the true population proportion of customers who click on ads on their smartphones is between 0.56 and 0.62. Option d.