Question

Question1 Not complete Points out of 1.00 A Simple Random Sample of fish is taken from a population that has a mean length of 80 cm and a standard deviation of 20 cm. How large of a sample is needed so that the sampling distribution of the sample proportion has a standard deviation of 1 cm? Flag question Select one: a. 400 b. 20 d. 80 Check Question 2 Not complete Points out of 1.00 The World Health Organization estimates that 5% of all adults in sub-Saharan Africa are living with HIV/AIDS. A survey takes a random sample of 1600 adults from all over sub-Saharan Africa and finds that 84 have HIV/AIDS Reference: Ref 13-11 Flag question The sampling distribution of the proportion who live with HIV/AIDS is approximately Select one: a. N(0.0500, 0.0054) b. N(0.0500, 0.0056) c. N(0.0525, 0.0056) d. N(0.0525, 0.0054) Check

Answer 1

Solution :-

1.) As we know,

Standard Error = s / sqrt(n)

so,

1=20/sqrt(n)

=> sqrt(n)=20

=> n=400

hence,

Required Sample size=400 .........ans.

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