$z=\frac{0.64-0.5}{\sqrt{\frac{0.64\left(0.36\right)}{100}}}$

$t=\frac{0.64-0.5}{\sqrt{\frac{0.64\left(0.36\right)}{100}}}$

$z=\frac{0.64-0.5}{\sqrt{\frac{0.5\left(0.5\right)}{100}}}$

$z=\frac{0.64-0.5}{\sqrt{\frac{0.64\left(0.36\right)}{64}}}$

$z=\frac{0.5-0.64}{\sqrt{\frac{0.5\left(0.5\right)}{100}}}$

The data should come from a random sample or randomize experiment

Both np and n(1-p) should be at least 10

If you are sampling without replacement from a finite population, then you should sample no more than 10% of the population

The population distribution should be approximately Normal, unless the sample size is large

All of the above are conditions for performing a significance test about a population proportion.

not significant at either $\alpha=.05$  or   $\alpha=.01$  

significant at  $\alpha=.05$  but not at  $\alpha=.01$  

significant at  $\alpha=.01$  but not at $\alpha=.05$ 

significant at both $\alpha=.05$  and   $\alpha=.01$  

inconclusive because we don't know the value of p-hat