Hands-free, or voice, microphone is a standard device used in cars to enable hands-free telephony. The speech intelligibility and quality (SI&SQ) associated with such a microphone represents the ultimate performance considered by users. However, the SI&SQ cannot be derived from microphone datasheets. Furthermore, the complex and constantly changing automotive acoustical environment under different driving conditions makes it very challenging to choose the proper hands-free microphone design(s) for certain vehicle model(s). To establish the relationship between microphone characteristics commonly described by directivities and frequency-responses with the SI&SQ perceived by drivers and passengers in automotive applications, a study is conducted using three common types of automotive hands-free microphones. Their SI&SQ are evaluated using both subjective and objective metrics described in ANSI S3.2-2009, S3.5-1997 and ITU-T Recommendation P.862.2. The correlation of results obtained from different evaluation metrics is analyzed. It is shown that the speech intelligibility index (SII) calculated objectively using ANSI S3.5-1997 correlates approximately linearly with the SI data obtained from the subjective S3.2-2009 method. With some mathematical mapping, a modified SII can be derived that also correlates well with the mean-opinion-score predicted by P.862.2. The newly proposed modified SII method can be an effective tool to guide automotive hands-free microphone designs.