A growth-mindset researcher plans to take an SRS of 200200200 teenagers from the population of teenagers in North America to see what proportion of teenagers sampled are pursuing a goal they have set for themselves. Suppose that 75\%75%75, percent of teenagers in North America are pursuing a goal they have set for themselves. Let \hat p
p
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p, with, hat, on top represent the proportion of a sample of 200200200 teenagers in North America who are pursuing a goal they have set for themselves.