# stats.& Prob

posted by .

Astudy shoed 53% of college applications were submitted online. Assume this result is based on sa simple random sample of 1000 applications with 530 submitted online. Use 0.01 sig.level to test claim that among all student applications the percentage submitted online is equal to 50%.

• stats.& Prob -

Null hypothesis:
Ho: p = .50 -->meaning: population proportion is equal to .50
Alternative hypothesis:
Ha: p does not equal .50 -->meaning: population proportion does not equal .50

Using a formula for a binomial proportion one-sample z-test with your data included, we have:
z = (.53 - .50)/√[(.50)(.50)/1000]

Finish the calculation.

Use a z-table to find the critical values for a two-tailed test at .01 level of significance. Compare the test statistic calculated above to the critical values from the table. If the test statistic exceeds either critical value, reject the null and conclude p does not equal .50. If the test statistic does not exceed either critical value from the table, do not reject the null.

I hope this will help get you started.

## Similar Questions

1. ### english

You need to explain applications: I assumed you were describing visa applications. Should applications from certain countries be given priority?
2. ### com285

Which of the following is NOT a gatekeeper?
3. ### software applications

what applications can use excel data?
4. ### Computer

Your computer is running a lot of services and applications when you log on that you never use. What implications can this mean for your computer?
5. ### statistics

A student of the author surveyed her friends and found that among 20 males, 4 smoke and among 30 female friends, 6 smoke. Give two reasons why these results should not be used for a hypothesis test of the claim that the proportions …
6. ### economics 5

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications …
7. ### Economics. (5)

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications …
8. ### economics 5

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications …
9. ### economics 5

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications …
10. ### STATS

The average number of applications of one gallon of car wax is 450; with a stdev of 23.9; if the bottom 5.2% of the wax containers is defective from the factory; what is the lowest amount of applications will pass and not be rejected.

More Similar Questions