We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
I would believe it to be 22
Answer:
Molly's estimation was approximately correct.
Step-by-step explanation:
Given:
Diameter of bike tire = 2 feet
Also Given:
She estimated that for every turn of the tire, the bike traveled about 6 feet.
Estimated Distance traveled = 6 feet
We need to find that whether her estimation reasonable.
Solution:
Now we know that Distance traveled is equal to Circumference of tire.
Since Tire is in circular shape.
We can say that;
Circumference of the tire will be π times diameter.
framing in equation form we get;
Circumference of the tire = 
Now The actual distance traveled is 6.28 feet and Molly estimated as 6 feet.
Hence we can say that Molly's estimation was approximately correct.