Math  /  Data & Statistics

QuestionInterpreting calculator display: The following TI-84 Plus display presents the results of a hypothesis test. \begin{tabular}{|l|} \hline \multicolumn{1}{|c|}{ z-Test } \\ μ>45\mu>45 \\ z=2.872551059z=2.872551059 \\ P=.0020359269P=.0020359269 \\ xˉ=48.75\bar{x}=48.75 \\ n=71n=71 \end{tabular}
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Part 1 of 5
What are the null and alternate hypotheses? H0:μ=45H1:μ>45\begin{array}{l} H_{0}: \mu=45 \\ H_{1}: \mu>45 \end{array} \square \infty do 탕
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Part 2 of 5
What is the value of the test statistic? Enter the value to the full accuracy shown (do not round). z=2.87255105z=2.87255105 \square
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Part 3 of 5
What is the PP-value? Enter the value to the full accuracy shown (do not round). PP-value == \square

Studdy Solution
The P P -value is directly provided by the calculator display:
\[ P\text{-value} = 0.0020359269 $
The null and alternate hypotheses, test statistic, and P P -value are:
\begin{align*} H_0: & \quad \mu = 45 \\ H_1: & \quad \mu > 45 \\ z = & \quad 2.872551059 \\ P\text{-value} = & \quad 0.0020359269 \\ \end{align*}

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