Thursday

October 23, 2014

October 23, 2014

Posted by **McKenzie** on Wednesday, July 11, 2012 at 4:34pm.

2) The Fox TV network is considering replacing one of its primetime crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 400 viewers. After viewing the comedy, 250 indicated they would watch the new show and suggested it replace the crime investigation show.

A) Estimate the value of the population proportion.

B) Compute the standard error of the proportion.

C) Develop a 99% CI for the population proportion.

Interpret your findings.

- Statistics -
**MathGuru**, Friday, July 13, 2012 at 7:04pm1) Formula using 99% confidence interval:

CI99 = mean ± (2.58)(sd/√n)

Note: ± 2.58 represents 99% confidence interval.

mean = 55

sd = 10

n = 49

Plug the values into the formula and calculate.

2) Formula for 99% interval estimate of the population proportion:

CI95 = p + or - 2.58[√(pq/n]

p = 250/400

q = 1 - p

n = 400

Convert the fractions to decimals, substitute the decimals into the formula, then finish the calculation.

A) and B) can be answered using the information above.

I hope this will help get you started.

- Correction -
**MathGuru**, Friday, July 13, 2012 at 7:07pmFor 2), the formula should read:

CI99 = p + or - 2.58[√(pq/n)]

Sorry for any confusion.

**Answer this Question**

**Related Questions**

statistics - A sample of 40 observations is selected from one approximately ...

statistics - A sample of 40 observations is selected from one approximately ...

statistics - Determine the 90% confidence interval for a sample, taken from a ...

statistics - Determine the 90% confidence interval for a sample, taken from a ...

Statistics - A 95% confidence interval for a population mean, ?, is given as (18...

Statistics - 8. A sample of 65 observations is selected from one population. The...

statistics - 7. A sample of 40 observations is selected from one population. The...

statistics - A simple random sample of 60 items resulted in a sample mean of 80...

stats - A sample of 12 observations is selected from a normal population for ...

statistics - a. A random sample of 25 was drawn from a normal distribution with ...