Posted by **daniel** on Wednesday, April 20, 2011 at 12:03am.

suppose you are testing Ho:p=.65 versus Ha: p<.65 . for a random sample of 100 people, x=58, where x denotes the number in the sample that have the characteristic of interest . use a .01 level of significance to test this hypothesis.

- statistics -
**MathGuru**, Wednesday, April 20, 2011 at 8:05pm
Null hypothesis:

Ho: p = .65 -->meaning: population proportion is equal to .65

Alternative hypothesis:

Ha: p < .65 -->meaning: population proportion is less than .65

Using a formula for a binomial proportion one-sample z-test with your data included, we have:

z = (.58 - .65) -->test value (58/100 = .58) minus population value (.65)

divided by

√[(.65)(.35)/100] --> .35 represents 1 - .65 and 100 is the sample size.

Use a z-table to find the critical or cutoff value for a one-tailed test (lower tail) at .01 level of significance. The test is one-tailed because the alternative hypothesis is showing a specific direction (less than).

If the test statistic exceeds the critical value you find from the table, reject the null. If the test statistic does not exceed the critical value from the table, do not reject the null.

You can draw your conclusions from there.

I hope this will help get you started.

## Answer this Question

## Related Questions

- statistics - A random sample of n = 30 is drawn from a population that is ...
- statistics - A random sample of n= 12 is drawn from a population that is ...
- statistics - A specific study found that the average number of doctor visits per...
- sssc - Suppose we test H0 : p = .3 versus Ha : p ≠ .3 and that a random ...
- statistics - A specific study found that the average number of doctor visits per...
- algebra 1 - Circle the most appropriate description. 27.A city planning ...
- statistics - In order to subject their cash registers to random audit, suppose ...
- statistics - The number of column inches of classified advertisements appearing ...
- Statistics and Probability - A computer supply house receives a large shipment ...
- business statistics - For the following independent random samples, use the z-...

More Related Questions