6. 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.?

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Asked Mar 21, 2020
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6. The telephone company wants to estimate the proportion of households that would purchase an
additional telephone line if it were made available at a substantially reduced installation cost. A
random sample of 500 households is selected. The results indicate that 135 of the households
would purchase the additional telephonē line at a reduced installation cost.
a. Construct a 99% confidence interval estimate of the population proportion of households that
would purchase the additional telephone line.
b. How would the manager in charge of promotional programs concerning residential customers
use the results found in 6.a.?
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6. The telephone company wants to estimate the proportion of households that would purchase an additional telephone line if it were made available at a substantially reduced installation cost. A random sample of 500 households is selected. The results indicate that 135 of the households would purchase the additional telephonē line at a reduced installation cost. a. Construct a 99% confidence interval estimate of the population proportion of households that would purchase the additional telephone line. b. How would the manager in charge of promotional programs concerning residential customers use the results found in 6.a.?

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Expert Answer

Step 1

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.

Statistics homework question answer, step 1, image 1

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

Statistics homework question answer, step 1, image 2

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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