Newsroom applicants have rated the interview process at New York Times with 3 out of 5 (where 5 is the highest level of difficulty) and assessed their interview experience as 100% positive. To compare, the company-average is 43.5% positive. This is according to Glassdoor user ratings.
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The interview was very refreshing. I felt like the recruiter had a genuine interest in who I am and what I could have brought to the table. They were able to offer feedback that was helpful for me.