Math  /  Data & Statistics

Questionwww-awu.aleks.com Sports Betting Secret -... 11/22/24 ATL @ CHI /// St... Home - Northern Essex... Content ChatGPT (5) KaiCenat - Twitch Homework \# 4: 7(1,2,3,4) 8(2,3,4) Question 36 of 40 (1 point) I Question Attempt: 1 of 3 2 23 24 25 26 27 28 29 30 Español Jonathan
Changing jobs: A sociologist sampled 214 people who work in computer-related jobs, and found that 44 of them have changed jobs in the past 6 months. Part 1 of 2 (a) Construct a 99.8%99.8 \% confidence interval for those who work in computer-related jobs who have changed jobs in the past 6 months. Round the answer to at least three decimal places.
A 99.8%99.8 \% confidence interval for the proportion of those who work in computer-related jobs who have changed jobs in the past 6 months is 0.1203 \square
Part: 1/21 / 2
Part 2 of 2 (b) Among the 214 people, 128 of them are under the age of 35 . These constitute a simple random sample of workers under the age of 35. If this sample were used to construct a 99.8%99.8 \% confidence interval for the proportion of workers under the age of 35 who have changed jobs in the past 6 months, is it likely that the margin of error would be larger, smaller, or about the same as the one in Part (a)?
The margin of error would be (Choose one) \square , because the size of the sample is \square (Choose one) . Skip Part Check Save For Later Submit Assignment

Studdy Solution
(a) A 99.8% confidence interval for the proportion of computer workers who changed jobs is (0.121, 0.291).
(b) The margin of error would be *larger*, because the size of the sample is *smaller*.

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