Using the information given and the z-distribution, it is found that:
a) The point estimate of the population proportion is 0.5544.
b) The margin of error is: 0.0320.
c) The interval is: (0.5224, 0.5864).
d) The interpretation of the interval is: we are 95% sure that the true population proportion is between 0.5224 and 0.5864.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions has the bounds given by the rule presented as follows:

In which the variables used to calculated these bounds are listed as follows:
is the point estimate of the population proportion.
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
From the sample, the sample size and the point estimate are given as follows:

The margin of error is given by:


M = 0.0320.
The interval is the point estimate plus/minus the margin of error, hence:
- Lower bound: 0.5544 - 0.0320 = 0.5224.
- Upper bound: 0.5544 + 0.0320 = 0.5864.
More can be learned about the z-distribution at brainly.com/question/25890103
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At the start, each can holds
• 5 L can : 0 L of oil
• 3 L : 0 L
Fill up the 5 L can completely:
• 5 L : 5 L
• 3 L : 0 L
Pour as much of the oil from the 5 L can into the 3 L can. This leaves you with
• 5 L : 2 L
• 3 L : 3 L
Empty the 5 L can:
• 5 L : 0 L
• 3 L : 3 L
Transfer the 3 L of oil into the 5 L can:
• 5 L : 3 L
• 3 L : 0 L
Fill up the 3 L can again:
• 5 L : 3 L
• 3 L : 3 L
Transfer as much of the oil as possible from the 3 L can into the 5 L can:
• 5 L : 5 L
• 3 L : 1 L
Empty the 5 L can:
• 5 L : 0 L
• 3 L : 1 L
Again, transfer the oil from the 3 L can to the 5 L can:
• 5 L : 1 L
• 3 L : 0 L
Fill up the 3 L can completely:
• 5 L : 1 L
• 3 L : 3 L
Transfer all the oil from the 3 L can to the 5 L can:
• 5 L : 4 L
• 3 L : 0 L
Que clase de pregunta es esta ?