A Food Marketing Institute found that 41% of households spend
more than $125 a week on groceries. Assume the population
proportion is 0.41 and a simple random sample of 194 households is
selected from the population. What is the probability that the
sample proportion of households spending more than $125 a week is
between 0.24 and 0.34?
Answer = (Enter your answer as a number accurate to 4
decimal places.)
Solution: What is the probability that the sample proportion of households spending more than $125 a week is between 0.24 and 0.34?
Answer:
Proof:
We have to find .
When then we have:
When then we have:
Now we have to find
Using the standard normal table we have:
Therefore, the probability that the sample proportion of households spending more than $125 a week is between 0.24 and 0.34 is
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