Question

The US population is 13% African American. If you were to take a SRS of 500 Americans, a) what is the probability that the sample will include more than 15% African Americans? b) below what proportion will we find 50% of our sample proportions? c) above what proportion will we find 40% of the sample proportions?

Answer 1

Answer:777777777777777777777777777777

Step-by-step explanation:77777777777777777777

Answer 2

The probability that the sample will include more than 15% African Americans is 0.0918.

How to calculate probability?

From the information, the probability that the sample will include more than 15% African Americans will be:

= P[Z > (0.15 - 0.13) / 0.0150

= P(Z > 1.3298)

From the standard normal table, this will be 0.0918.

The proportion that we will find 50% of our sample proportions will be 0.13 from the normal distribution.

In conclusion, the proportion that we will find 40% of the sample proportions will be:

= 0.13 × 0.2534 × 0.0150

= 0.1262

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