A market survey organization repeated the residential energy consumption study f

Question

A market survey organization repeated the residential energy consumption study for a certain town with 25,000 households, by selecting a simple random sample of 500 households of the 500 sample households, 7, had three or more large screen televisions. The percentage of households in the town with three or more large screen televisions is estimated as______________. this estimate is likely to be off by_________ or so. If possible find a 95% confidence interval for the percentage of all 25,000 households with three or more large screen TVs 1_______________ If this is not possible, explain why not___________. Show work below and on reverse side of this page if necessary. Estimate of percentage in the town with 3 or more large screen televisions_________ Amount off__________ 95% confidence interval for the percentage______________. If this is not possible, explain why not_______________________.

Explanation / Answer

Here we have given that,

n = number of house holds = 500

x = number of households had three or more large screen televisions = 7

1.1) Here we have to find percentage of households in the town with three or more large screen televisions.

Percentage of households in the town with three or more large screen televisions is = 7 / 500 = 0.014

95% confidence interval for proportion is,

p^ - E < P < p^ + E

where p^ is sample proportion.

E is margin of error.

This we can done using TI-83 calculator.

steps :

STAT --> TESTS --> A:1-PropZInt --> ENTER --> Input all the values --> confidence level : 95% = 0.95 --> Calculate --> ENTER

The 95% confidence interval for proportion is (0.0037, 0.0243).

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