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The claim is that the proportion of peas with yellow pods is equal to 0.25? (or...

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.

Math   Statistics-And-Probability   
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Answer #1

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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