Suppose that the experimental results show the coin turning up heads 14 times out of 20 TOTAL flips

• null hypothesis (H0): fair coin;
• observation O: 14 heads out of 20 flips; and
• p-value of observation O given H0 = Prob(≥ 14 heads or ≥ 14 tails) = 0.115.

The CALCULATED p-value EXCEEDS 0.05, so the observation is consistent with the null hypothesis - that the observed result of 14 heads out of 20 flips can be ascribed to chance ALONE - as it falls within the range of what would happen 95% of the time were this in fact the case. In our example, we fail to reject the null hypothesis at the 5% level. Although the coin did not fall evenly, the deviation from expected outcome is small enough to be reported as being "not statistically SIGNIFICANT at the 5% level".

Suppose that the experimental results show the coin turning up heads 14 times out of 20 total flips

The calculated p-value exceeds 0.05, so the observation is consistent with the null hypothesis - that the observed result of 14 heads out of 20 flips can be ascribed to chance alone - as it falls within the range of what would happen 95% of the time were this in fact the case. In our example, we fail to reject the null hypothesis at the 5% level. Although the coin did not fall evenly, the deviation from expected outcome is small enough to be reported as being "not statistically significant at the 5% level".