Question

The proportion of adult women in a certain geographical region is approximately 49​%. A marketing survey telephones 500 people at random. Complete parts a through e below.

Would you be surprised to find that there were fewer than 185 women in the​ sample? Select the correct choice below and fill in the answer box within your choice.

Answer 1

Solution: We are given:

number of women in the sample

Now we have:

  

  

Therefore, this is surprising since 185 women represents a proportion of women, which is less than two standard deviations below the mean.