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Answer :
All of the conditions for inference are met, so it is appropriate to construct a 99% confidence interval for the true proportion of all magazine subscribers who do not read the magazine they subscribe to.
Random sample: The sample of 100 magazine subscribers was selected randomly, so this condition is met.
10% condition: The sample size is 100, which is less than 10% of the population of all magazine subscribers, so this condition is met.
Large counts condition: To check the large counts condition, we need to calculate the expected number of subscribers who do not read the magazine they subscribe to, which is n × p = 100 × 0.38 = 38. Since this number is greater than 5, the large counts condition is met.
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Answer:
Random condition:
✔ met
10% condition:
✔ met
Large counts condition:
✔ met
Are the conditions for inference met?
✔ yes
