Several errors in the conventions of standard written English will affect a writer's credibility because the reader will doubt the accuracy of the information since the diction is bad.
A writer's credibility is the reliability and dependability that the readers have in him.
This credibility is built when the reader trusts the things that are written by the writer. However, this trust can be eroded when the spelling and grammar of the writer are incorrect.
The reader might think that since the diction is not in order the information might not be true.
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