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Course: Statistics and probability?>?Unit 10
Lesson 2: Sampling distribution of a sample proportion- Sampling distribution of sample proportion part 1
- Sampling distribution of sample proportion part 2
- Normal conditions for sampling distributions of sample proportions
- The normal condition for sample proportions
- Mean and standard deviation of sample proportions
- Probability of sample proportions example
- Finding probabilities with sample proportions
- Sampling distribution of a sample proportion example
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The normal condition for sample proportions
Problem
According to the admissions director of a certain college, approximately of the freshmen admitted had applied using the early decision option. Suppose that we took random samples of freshmen from this population and computed the proportion of freshmen in each sample who had applied using the early decision option. We can assume the admissions director's claim is true.
What will be the shape of the sampling distribution of ?