STATISTICS
hyp_test_answer_keys.pdf

If the claim is the null hypothesis finish the

Info icon This preview shows pages 13–16. Sign up to view the full content.

If the claim is the null hypothesis, finish the conclusion with “to reject the claim” If the claim is the alternative hypothesis, finish the conclusion with “to support the claim”
Image of page 13

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

8. The assumptions are as follows: To test a hypothesis test about a population mean, the sample needs to be collected randomly and be either nearly normal or at least 30. To test a hypothesis test about a population percentage (proportion), the sample needs to be collected randomly and n (p) and n (1-p) must both be at least 10. 9. 0 : 180 (claim) : 180 A H H Simulating a population mean of 180 pounds gave the following printout from StatKey. Answers may vary since it is a randomized simulation. The sample mean in the health data was 172.55 pounds. Simulating 2000 times, that sample mean of 172.55 or more extreme occurred a total of 138 times (two tails). This indicates that the chances of the sample data or more extreme data happening from a population of 180 was 0.069 (6.9%). This is an estimated P-value. Since we are using a significance level of 6.9%, we will fail to reject the null hypothesis. There is evidence, but it is not quite significant enough to reject the claim that the average weight of men is 180 pounds. The sample data was unlikely to happen from the population value of 180, but it was not quite unlikely enough. The sample mean 172.55 was different than the population value of 180, but it was not quite significant enough. Conclusion: There is not significant enough evidence to reject the claim that the mean average weight of men is 180 pounds. 10. 0 : 25 : 25 (claim) A H H Right Tailed Test. Test Stat T = 2.204 The sample mean of $26.82 was 2.204 standard errors above the population value of $25. There is a significant difference between the sample value and the population value. The sample value was significantly higher than the population value. P-Value = 0.0181 If the average salary of nurses is $25, then there was only a 1.81% chance of getting the sample data or more extreme. If the average salary really is $25, then it was very unlikely that the sample data happened by random chance (1.8%). Reject the null hypothesis. There is significant evidence to support the claim that the average salary of nurses is greater than $25.
Image of page 14
11. 0 : p 0.1 : p 0.1 (claim) A H H Right Tailed Test. Answers may vary in simulation. In 5000 simulations we only got a sample percent of 13% or higher only 1 time. Estimated P-value = 0.0004 Reject Ho. The sample value of 13% is significantly higher than the population value of 10%. It is very unlikely (0.0004) that the sample value happened by random chance. There is significant sample evidence to support the claim that the more than 10% of women have at least one tattoo. 12. 0 : p 0.25 (claim) : p 0.25 A H H Two tailed test. The sample percent was 0.259 and the Z test Stat = 0.197 . So the sample percent was only 0.197 standard errors above the population value. This is very close. They are not significantly different. The Pvalue = 0.8435 So if the population value is 25%, there was an 84.4% chance of getting the sample data or more extreme.
Image of page 15

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Image of page 16
This is the end of the preview. Sign up to access the rest of the document.
  • Fall '17
  • Statistics, Statistical hypothesis testing, significant sample evidence

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern