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In a certain school, 40% of students are afraid of dogs. A sample of 50 students is taken. (a) What is the standard error for

In a certain school, 40% of students are afraid of dogs. A sample of 50 students is taken.

(a) What is the standard error for the sample proportion?

(b) What is the probability that the sample proportion is more than 53%?

(c) What is the probability that the sample proportion is less than 46%?

(d) What is the probability that the sample proportion is between 35% and 45%?

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