Statistics - Finding the Population Proportion - VERY SIMPLE
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Statistics - Finding the Population Proportion - VERY SIMPLE

[From: ] [author: ] [Date: 11-12-09] [Hit: ]
The population proportion is 0.15.A common question is does the sample differ significantly from the population?Ho: mean = 0.Ha: mean does not equal 0.z-statistic = 3.......
Sample size is n = 825
Sample Proportion is equal to the number of households that use e-mail divided by the total number of households in the sample.

p(hat) = 0.193

How in the internets does one derive 0.193 from dividing 0.15 by the 825 (total in sample)

Have I been doing homework \too\ long or is my brain just failing on me.

Thanks in advance if anyone can help with this statistics homework.

-
Qwerty -

If p(hat) = 0.193 and the sample size is 825, that simply means 825(.193) = 159 is the number of households from the sample that use e-mail.

The population proportion is 0.15.

A common question is does the sample differ significantly from the population? That is:

Ho: mean = 0.15
Ha: mean does not equal 0.15

If you do this with a 1-proportion z-test:

z-statistic = 3.437
p = 0.0006

So, yes the sample is significantly different, so REJECT the null hypothesis.

Hope that helps
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