'P value and critical value in hypothesis testing
I need little clarification in p value and critical value approach in hypothesis testing regarding below example.
Null Hypothesis : population mean = 80
Alternative : population mean != 80
sample_mean = 78
sample_std = 2.5 n = 40
after calculating Z statistic that gives value of -5.063, which falls in rejection region (with 95% confidence level) thus rejects null. But if I calculate p_value from test statistic using scipy.stats.norm.sf(abs(-5.063)) in python it accepts null. So whats happening here. I need guidelines.
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