An experiment requires tossing two coins at the same time. You are interested in the number of heads you obtain. After tossing the two coins 20 different times, you got no heads 2 times, one head 9 times, and two heads 9 times. Perform a Chi-square goodness of fit test using =0.05 to investigate whether the two coins used were fair.

Answer clearly the following questions on Excel Worksheet

(a) State clearly the null hypothesis for this experiment.

(b) Complete the space in the table provided on the Excel Worksheet and determine the Chi-square value. You are not required to fill out all the space.

(c) What is the critical value you must use for this Chi-square test?

(d) Based on the results of your Chi-square test, what do you conclude? Justify your answer(s).