The claim is that the proportion of peas with yellow pods is equal to 0.25? (or 25%). The sample statistics from one experiment include 530530 peas with 140140 of them having yellow pods. Find the value of the test statistic.
Solution:
population Proportion of peas with yellow pods
= 0.25
Sample proportion = 140140/530530
= 0.2641
Standard error can be calculated as SE = sqrt(0.25*0.75/530530) =
0.4330/728.3749 = 0.0005944
test statistic = ()/
SE = (0.2641-0.25)/0.0005944 = 0.0141/0.0005944 = 23.72
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