If/Then statement not working inside of while loop [duplicate]

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• How do I test one variable against multiple values? 13 answers

The if/else statement inside of this loop will not work. If I enter "no" it still continues the loop. I don't understand why, any help would be appreciated.

while keepPlaying == True:
    play = input(str('Would you like to play rock, paper, scissors? Yes or no?\n'))

    if play == str('yes') or str('Yes'):
        playerChoice = input(str('Ok! what\'s your choice?\n'))
    else:
        keepPlaying = False

print ('Thanks for playing.')

I've put the code through a visualizer and even if the variable play != yes or Yes it still chooses the == to path.