Jake heard that spinning—rather than flipping—a penny raises the probability above 50\%50%50, percent that the penny lands showi
ng heads. He tests this by spinning 101010 different pennies 101010 times each, so he's willing to treat these spins as a random sample. In his 100100100 spins, the penny landed showing "heads" in 686868 spins. He wants to use these results to test H_0: p=0.50H
0
:p=0.50H, start subscript, 0, end subscript, colon, p, equals, 0, point, 50 versus H_\text{a}: p>0.50H
a
:p>0.50H, start subscript, start text, a, end text, end subscript, colon, p, is greater than, 0, point, 50, where ppp is the true proportion of spins that a penny would land showing "heads".
Assuming that the conditions for inference have been met, calculate the test statistic for Jake's significance test.
