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can someone please check my answers which next to the problem Sample proportions can use the central limit theorem to allow a approximate normal estimation

can someone please check my answers which next to the problem

Sample proportions can use the central limit theorem to allow a approximate normal estimation with

Mu phat= pandsigma phat= sqrt(p * (1-p) /n)ifnp>= 10and n(1-p) >= 10

For the following values of n and p specify if they can use the approximately normal conditiion

n = 20 p = 0.300 = YES

n = 70 p = 0.600 = YES

n = 500 p = 0.003 = no

n = 21 p = 0.500 = no

n = 1000 p = 0.997 = yes

Provide the answer of "yes or no" to each of the above.

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