A study of young children was designed to increase their intake of whole-grain, rather than regular-grain, snacks. At the end of the study, the 76 children who participated in the study were presented with a choice between a regular-grain snack and a whole-grain alternative. The whole-grain alternative was chosen by 53 children. You want to examine the possibility that the children are equally likely to choose each type of snack.
Perform the significance test. (Use α = 0.01. Round your test statistic to two decimal places and your P-value to four decimal places.)
z=_______
P-value=_______
How do I solve for this without using a calculator? Thank you.