1 / 19

Pengujian Hipotesis Nilai Tengah Pertemuan 15

Pengujian Hipotesis Nilai Tengah Pertemuan 15. Matakuliah : L0104 / Statistika Psikologi Tahun : 2008. Learning Outcomes. Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa akan dapat menyusun simpulan dari langkah-langkah uji hipotesis nilai tengah dan beda nilai tengah.

ash
Download Presentation

Pengujian Hipotesis Nilai Tengah Pertemuan 15

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Pengujian Hipotesis Nilai TengahPertemuan 15 Matakuliah : L0104 / Statistika Psikologi Tahun : 2008

  2. Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa akan dapat menyusun simpulan dari langkah-langkah uji hipotesis nilai tengah dan beda nilai tengah. 3

  3. Outline Materi • Uji nilai tengah sampel besar • Uji nilai tengah sampel kecil • Uji beda nilai tengah dua populasi bebas • Uji beda dua nilai tengah populasi tidak bebas 4

  4. Hypothesis Testing • Developing Null and Alternative Hypotheses • Type I and Type II Errors • One-Tailed Tests About a Population Mean: Large-Sample Case • Two-Tailed Tests About a Population Mean: Large-Sample Case • Tests About a Population Mean: Small-Sample Case continued

  5. Developing Null and Alternative Hypotheses • Hypothesis testing can be used to determine whether a statement about the value of a population parameter should or should not be rejected. • The null hypothesis, denoted by H0, is a tentative assumption about a population parameter. • The alternative hypothesis, denoted by Ha, is the opposite of what is stated in the null hypothesis. • Hypothesis testing is similar to a criminal trial. The hypotheses are: H0: The defendant is innocent Ha: The defendant is guilty

  6. Developing Null and Alternative Hypotheses • Testing Research Hypotheses • The research hypothesis should be expressed as the alternative hypothesis. • The conclusion that the research hypothesis is true comes from sample data that contradict the null hypothesis.

  7. A Summary of Forms for Null and Alternative Hypotheses about a Population Mean • The equality part of the hypotheses always appears in the null hypothesis. • In general, a hypothesis test about the value of a population mean μ must take one of the following three forms (where μ0 is the hypothesized value of the population mean). H0: μ>μ0 H0: μ<μ0H0: μ = μ0 Ha: μ < μ0Ha: μ > μ0Ha: μ ≠ μ0

  8. Contoh Soal: Metro EMS • Type I and Type II Errors Population Condition H0 True Ha True Conclusion (μ < 12 ) (μ > 12 ) Accept H0Correct Type II (Conclude μ <12) Conclusion Error Reject H0Type I Correct (Conclude μ > 12) Error Conclusion

  9. The Steps of Hypothesis Testing • Determine the appropriate hypotheses. • Select the test statistic for deciding whether or not to reject the null hypothesis. • Specify the level of significance  for the test. • Use to develop the rule for rejecting H0. • Collect the sample data and compute the value of the test statistic. • a) Compare the test statistic to the critical value(s) in the rejection rule, or b) Compute the p-value based on the test statistic and compare it to to determine whether or not to reject H0.

  10. One-Tailed Tests about a Population Mean: Large-Sample Case (n> 30) • Hypotheses • H0:   or H0:  Ha: Ha: • Test Statistic  Known Unknown • Rejection Rule Reject H0 if z > zReject H0 if z < -z

  11. Two-Tailed Tests about a Population Mean: Large-Sample Case (n> 30) • Hypotheses H0: μ= μ0  Ha: μ≠ μ • Test Statistic σKnownσ Unknown • Rejection Rule Reject H0 if |z| > z

  12. Tests about a Population Mean:Small-Sample Case (n < 30) • Test Statistic σKnownσ Unknown This test statistic has a t distribution with n - 1 degrees of freedom. • Rejection Rule One-TailedTwo-Tailed H0: μ<μ0 Reject H0 if t > tα H0: μ>μ0 Reject H0 if t < -tα H0: μ=μ0 Reject H0 if |t| > t

  13. A Summary of Forms for Null and Alternative Hypotheses about a Population Proportion • The equality part of the hypotheses always appears in the null hypothesis. • In general, a hypothesis test about the value of a population proportion p must take one of the following three forms (where p0 is the hypothesized value of the population proportion). H0: p>p0 H0: p<p0 H0: p = p0 Ha: p < p0 Ha: p > p0 Ha: p ≠ p0

  14. Hypothesis Tests About the Difference Between the Means of Two Populations: Independent Samples • Hypotheses H0: μ1 - μ2< 0 H0: μ1 - μ2> 0 H0: μ1 - μ2 = 0 Ha: μ1 - μ2 > 0 Ha: μ1 - μ2 < 0 Ha: μ1 - μ2≠ 0 • Test Statistic Large-Sample Small-Sample

  15. Contoh Soal: Specific Motors • Hypothesis Tests About the Difference Between the Means of Two Populations: Small-Sample Case • Rejection Rule Reject H0 if t > 1.734 (a = .05, d.f. = 18) • Test Statistic where:

  16. Contoh Soal: Express Deliveries Delivery Time (Hours) District OfficeUPXINTEXDifference Seattle 32 25 7 Los Angeles 30 24 6 Boston 19 15 4 Cleveland 16 15 1 New York 15 13 2 Houston 18 15 3 Atlanta 14 15 -1 St. Louis 10 8 2 Milwaukee 7 9 -2 Denver 16 11 5

  17. Contoh Soal: Express Deliveries • Inference About the Difference Between the Means of Two Populations: Matched Samples • ConclusionReject H0. There is a significant difference between the mean delivery times for the two services.

  18. Selamat Belajar Semoga Sukses

More Related