Posted by **Candy** on Wednesday, July 29, 2009 at 5:42pm.

The director of admissions at a large university says that 15% of high school juniors to whom she sends university literature eventually apply for admission. In a sample 0f 300 persons to whom materials were sent, 30 students applied for admission. In a two-tail test at the 0.05 level of significance, should we reject director’s claim?

- business statistics -
**MathGuru**, Thursday, July 30, 2009 at 8:48am
Null hypothesis:

Ho: p = .15 -->meaning: population proportion is equal to .15

Alternative hypothesis:

Ha: p does not equal .15 -->meaning: population proportion is not equal to .15 (this is a two-tailed test because the alternative hypothesis doesn't specify a specific direction)

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

z = .10 - .15 -->test value (30/300 = .10) minus population value (.15)

divided by

√[(.15)(.85)/300] -->note: .85 is 1 - .15

Finish the calculation (hint: the z-test statistic will exceed the negative critical cutoff value using a z-table to reject the null hypothesis).

I hope this will help.

## Answer this Question

## Related Questions

- statistics - 2. The director of admissions at a large university advises ...
- statistics - 1. A state’s department of education reports that 12% of the high ...
- Grammar - For each of the following sentences, choose the correct pronoun from ...
- Grammar - For each of the following sentences, choose the correct pronoun from ...
- College admission letter - I got a letter from university,it tells me that they ...
- Stats - The director of admissions at Kinzua University in Nova Scotia estimated...
- Statistics - In a certain city, there are 10,000 persons age 18 to 24. A simple ...
- English - Okay, this is the work I have done so far. I need to know whether I'm ...
- English - help using who or whom The person who I called is my sister. For whom ...
- English - Using who or Whom 1. Who told you about our plans? 2. Who is our ...

More Related Questions