Answer :
Final answer:
The correct statement about the estimator p is that it is approximately normally distributed and its standard deviation is given by sqrt(p(1-p)/n).
Explanation:
The question is asking about the properties of the estimator p, which represents the proportion of left-handed students in the population based on the sample. In this case, the sample size is n=50 and the number of left-handed students is 34.
The estimator p is approximately normally distributed when certain conditions are met. This means that if we were to take multiple random samples of the same size, the distribution of the sample proportions would be approximately normal.
The standard deviation of the estimator p is given by sqrt(p(1-p)/n). This formula takes into account the variability in the sample proportions and decreases as the sample size increases.
Therefore, the correct statement about the estimator p is that it is approximately normally distributed and its standard deviation is given by sqrt(p(1-p)/n).
Learn more about estimation of proportions here:
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