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Answer:
a) (0.576, 0.624)
Step-by-step explanation:
Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%
α = 1 - C = 1 - 0.85 = 0.15
α/2 = 0.075
The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence
The margin of error (E) is:
The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)
Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The times are given as follows:
- Mrs. Squirrel: x.
- Mr. Turtle: 3 days.
- Mr. Pigeon: 30 minutes = Half an hour = 1/48 day.
The ratios are as follows:
Turtle/Squirrel = Squirrel/Pigeon.
Hence:
x = 1/4.
It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.
More can be learned about proportions at brainly.com/question/24372153
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