Story highlights One of the four Americans arrested is journalist Anna Therese Day

Her family calls for her release and the release of her crew

Bahrain police say the journalists entered on tourist visas

(CNN) Four Americans have been arrested in Bahrain for entering the country using false information and allegedly participating in "attacks on police," according to a police statement released Monday.

Bahrain officials said some of the arrested Americans were members of the international media but "had not registered with the concerned authority and were involved in illegal activities."

The family of one of those arrested released a statement, identifying one of the journalists as Anna Therese Day. The other three Americans were not identified.

"Anna and her crew are committed journalists who only want to ensure they could undertake their profession ethically and thoroughly. The allegation that they were in any way involved in illegal behavior or anything other than journalistic activities is impossible.

"Anna Day is much loved and missed and we are concerned about her well-being as well as that of her three American colleagues," the statement read, calling for her release and the release of her crew.

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