Skip to main content
Statistics LibreTexts

Self-Check 9.1, 9.4

  • Page ID
    36510
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)

    ( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\id}{\mathrm{id}}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\kernel}{\mathrm{null}\,}\)

    \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\)

    \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\)

    \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    \( \newcommand{\vectorA}[1]{\vec{#1}}      % arrow\)

    \( \newcommand{\vectorAt}[1]{\vec{\text{#1}}}      % arrow\)

    \( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vectorC}[1]{\textbf{#1}} \)

    \( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)

    \( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)

    \( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)

    \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    Name:___________________________________Date:__________________Row:___________

    Self-Check 9.1, 9.4

    1. We want to test whether the mean height of eighth graders is 66 inches. State the null and alternative hypotheses.
    1. On a state driver’s test, about 40% pass the test on the first try. We want to test if more than 40% pass on the first try.
    1. We want to test the claim that the mean is greater than 12.
    1. Find the p-value for each test, state the conclusion about the null hypothesis a. α = 0.05, test statistic = 1.15

    H0: p = 0.4

    H1: p ≠ 0.4

    b. α = 0.01, test statistic = 2.5

    H0: µ = 12 H1: µ > 12

    5. It’s a Boy Genetics Labs claim their procedures improve the chances of a boy being born. The results for a test of a single population proportion are as follows: H0: p= 0.50, H1: p> 0.50, α= 0.01, p-value = 0.025

    1. State the conclusion about the null hypothesis
    1. State the conclusion that addresses the original claim.

    6. Suppose a baker claims that his break height is more than 15cm.

    1. State the null and alternative hypothesis.

    1. Use a 0.01 significance level and the p-value of 0.0013 to state the conclusion about the null hypothesis.
    1. State the conclusion that addresses the original claim.

    Self-Check 9.1, 9.4 is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

    • Was this article helpful?