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# Z hypothesis test with critical values Online Calculator

Population Mean: One tailed Two tailed

## You can see a sample solution below. Enter your data to get the solution for your question

$$\displaylines{\\ \\ x = 22.3 \\ \\ \mu = 24.0 \\ \\ \sigma = 2 \\ \\ n = 34 \\ \\ \alpha = 0.05 \\ \\ critical\;value\;z\;=\;\;\mathbf{\color{Red}{-1.644854}} \\ \\ H_{0}: \mu = 24.0 \\ \\ H_{a}: \mu < 24.0 \\\;\\\;Formula\;for\;test\;statistic\;z\;is \\ \\ Z= \frac{x - \mu }{\frac{\sigma }{\sqrt{n}}} \\ \\ \\ So, Z = \frac{22.3-24.0}{\frac{2}{\sqrt{34}}} \\ \\ \Rightarrow \frac{-1.7}{0.342997} \\ \\ \Rightarrow -4.956312 \\ \\ test\;statistic\;= \mathbf{\color{Red}{-4.956312}} \\ \\ p= 0.0 \\ \\ 0.0 \;is\;less\;than\; 0.05 \;[p\;value\;is\;less\;than\;\alpha] \\ \\ So,\;Result\;is\;Null\;Hypothesis\;Rejected }$$