Question options:
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river
Explanation:
Formula to calculate standard deviation = √p(1-p)/n
Given p= population proportion
n= sample size
From the question,
We are given p(population proportion of catfish in the river)= 0.47
n(sample size of fish collected from river) = 25
The standard deviation using the formula above = √0.47(1-0.47)/25
= 0.0998
The 10% condition demands that a sample size be not less than 10% of the population
To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,
10% of 250= 0.10×250=25 fish
Therefore the option B chosen is correct
cm