Jenny Is Conducting a Hypothesis Test Concerning a Population Mean $\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 50 \\ \mathrm { H } _ { \mathrm { a } } : \mu > 50 \end{array}$

Jenny is conducting a hypothesis test concerning a population mean. The hypotheses are as follows.

$\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 50 \\ \mathrm { H } _ { \mathrm { a } } : \mu > 50 \end{array}$
She selects a sample and finds that the sample mean is $54.2$ . She then does some calculations and is able to make the following statement: If $\mathrm { H } _ { 0 }$ were true, the chance that the sample mean would have come out as big ( or bigger) than $54.2$ is $0.3$ . Do you think that she should reject the null hypothesis? Why or why not?

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