What exactly does the random number generator experiment prove – does it demonstrate the power of prayer?

This answer is a response to the below comment of Avatari Chaitanya Pr:

Dear Chaitanya Charan Prabhu,

Thank you very much for the brilliant response as usual (https://www.thespiritualscientist.com/2013/05/how-do-others-prayers-affect-my-exam-performance/).

As devotees we know for sure that well wishes, prayers and good intentions of others surely help us. We have experience of the same.

For the skeptics, I would like to point to scientific research of our thoughts on the outcome of results conducted at Princeton University. Please take a look at the website of Princeton Engineering Anomalies Research:

http://www.princeton.edu/~pear/

It has been demonstrated time and again that a well constructed random number generator, which normally produces equal number of zeros and ones over a significant amount of time can be made to generate more ones or more zeros depending on the intentions of people. Generically speaking, human mind can and does have influence on physical phenomenon.

With regards,
Amol