unexpected Shapiro results python

Question

Shapiro p value does not show normality though histogram and qqplot seem to show normality. My concern is if I am correctly using the scipy Shapiro function.

pty.hist(RankList[4])
sm.qqplot(np.array(RankList[4]), line='s')
print(stats.shapiro(RankList[4]))
pty.show()

RESULT From Shapiro

(0.9911481738090515, 7.637918031377922e-08)

I would expect the p value to be higher.

Answer 1

It looks like you have quite a bit of data, if you check the notes on the SciPy documentation page it states:

For N > 5000 the W test statistic is accurate but the p-value may not be.

You may want to consider using the Anderson Darling test.