Suppose a marketing company computed a 94% confidence interval for the true proportion of customers who click on ads on their sm
artphones 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.
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.