Question

assume that 1500 births are randomly selected and 758 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below
a. the number of girls is neither significantly low nor significantly high
b. the number of girls is significantly low.
c. the number of girls is significantly high.
d. it is impossible to make a judgment with the given information.

Explanation:

Step1: Estimate expected number of girls

In general, the probability of a birth being a girl is approximately 0.5. So for 1500 births, the expected number of girls is \(1500\times0.5 = 750\).

Step2: Compare with actual number

The actual number of girls is 758. The difference between 758 and 750 is 8, which is relatively small compared to the total number of births (1500). So 758 is close to the expected value of 750.

Answer:

A. The number of girls is neither significantly low nor significantly high