June 1, 1962 - A new political biography of Senator Barry Goldwater, Arizona Republican, pictures him today as believing he would have a good chance of winning the Republican Presidential nomination in 1964, and it suggests he might make the attempt if the party’s prospects look bright. In any event, Senator Goldwater is said to believe the party’s conservative wing, for which he is the chief spokesman, will hold the balance of power at the next national convention. “I am reasonably certain that the Republican Presidential nominee in 1964 will have to accommodate the conservatives,” Senator Goldwater is quoted as saying. The book, “Mr. Conservative: Barry Goldwater,” published today, was written by Jack Bell, Associated Press political writer.