Yes, confidence interval can be used to test the claim
Let us say we said the mean number of students in a class in your school is 40
Now you obtain a confidence interval ( 39, 43 )
Then you can conclude that the claim mean number of students in a class in your school is 40
in case your confidence interval was ( 41, 45 )
Then you can conclude that the claim mean number of students in a class in your school is more than 40
in case your confidence interval was ( 36, 39 )
Then you can conclude that the claim mean number of students in a class in your school is less than 40
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