07_27 - STAT 410 Examples for Summer 2009 Hypotheses...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
STAT 410 Examples for 07/27/2009 Summer 2009 Hypotheses Testing for the Population Mean μ Null Alternative H 0 : μ μ 0 vs. H 1 : μ < μ 0 Left - tailed. H 0 : μ μ 0 vs. H 1 : μ > μ 0 Right - tailed. H 0 : μ = μ 0 vs. H 1 : μ μ 0 Two - tailed. H 0 true H 0 false Accept H 0 ( Do NOT Reject H 0 ) Type II Error Reject H 0 Type I Error α = significance level = P ( Type I Error ) = P ( Reject H 0 | H 0 is true ) β = P ( Type II Error ) = P ( Do Not Reject H 0 | H 0 is NOT true ) Power = 1 – P ( Type II Error ) = P ( Reject H 0 | H 0 is NOT true ) Test Statistic: n σ μ 0 X Z - = OR n s 0 μ X T - = OR X The P-value ( observed level of significance ) is the probability, computed assuming that H 0 is true, of obtaining a value of the test statistic as extreme as, or more extreme than, the observed value. (The smaller the p-value is, the stronger is evidence against H 0 provided by the data.) P-value > α Do Not Reject H 0 ( Accept H 0 ) . P-value < α Reject H 0 .
Image of page 1

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

View Full Document Right Arrow Icon
2 Computing P-value. H 0 : μ μ 0 H 1 : μ < μ 0 Left - tailed. H 0 : μ μ 0 H 1 : μ > μ 0 Right - tailed. H 0 : μ = μ 0 H 1 : μ μ 0 Two - tailed. Area to the left of the observed test statistic Area to the right of the observed test statistic 2 × area of the tail Rejection Region: H 0 : μ μ 0 H 1 : μ < μ 0 Left - tailed. H 0 : μ μ 0 H 1 : μ > μ 0 Right - tailed. H 0 : μ = μ 0 H 1 : μ μ 0 Two - tailed.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ 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