Posted by **Katy** on Thursday, November 28, 2013 at 5:13pm.

The proportion of adults living in a small town who are college graduates is estimated to be p = 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the number of college graduates in the sample is anywhere from 6 to 12, we shall not reject the null hypothesis that p = 0.6; otherwise, we shall conclude that p /= 0.6.

Evaluate β for the alternatives p = 0.5 and p = 0.7.

Beta is The probability of Type 2 error.

I tried to use the binomial distribution with n=15 and p=.5 and .7 to get P(6<=x<=12|p=.5) and use 12 and 6 for x and substract the results but I can't get the correct answers which are 0.8454 for p=.5, and 0.8695 for p=.7

Is there another way of doing it? Are me x's right for the binomial distributio right?

## Answer This Question

## Related Questions

- Probability and Statistics - The proportion of adults living in a small town who...
- Probability and Statistics - The proportion of adults living in a small town who...
- Probability and Statistics - The proportion of adults living in a small town who...
- Probability and Statistics - The proportion of adults living in a small town who...
- statistics - 2. Assume that the population proportion of adults having a college...
- statistics - A random sample of 80 youths and a second random sample of 120 ...
- statistics - Hannah selected a simple random sample of all adults in her town ...
- Statistics - A simple random sample is conducted of 1486 young adults who were ...
- statistics - A nationwide study indicated that 27% of adults said that chocolate...
- Basic Statistics - Historically, the proportion of adults over the age of 24 ...

More Related Questions