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StatisticsQ&A Library6. The telephone company wants to estimate the proportion of households that would purchase anadditional telephone line if it were made available at a substantially reduced installation cost. Arandom sample of 500 households is selected. The results indicate that 135 of the householdswould purchase the additional telephonē line at a reduced installation cost.a. Construct a 99% confidence interval estimate of the population proportion of households thatwould purchase the additional telephone line.b. How would the manager in charge of promotional programs concerning residential customersuse the results found in 6.a.?Question

Asked Mar 21, 2020

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**Solution:**

6.

a.

Let *X* be the number of households would purchase the additional telephone line at a reduced cost.

From the given information, X=135 and n=500.

Then, a 99% confidence interval estimate of the population proportion of households that would purchase the additional telephone line is

Thus, a 99% confidence interval estimate of the population proportion of households that would purchase the additional telephone line is (0.2189, 0.3211).

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