2. 0 Is yawning contagious , Part I. An experiment conducted by the Myth Busters , a science* entertainment. TV program on the Discovery Channel , tested if a person can he subconsciously influenced into yawning if another person near them yawns . all people were randomly assigned to two groups : It to a group where a person hear them yawned ( treatment ) and It to a group where there wasn't a person yawning near them ( control ) . The following table shows the results of this experiment .^ " Treatment Control* "Total Result Yawn 10 14 Not Yawn 24 12 "Total 34 5.0 A simulation was conducted to understand the distribution of the test Statistic under the assump* tion of independence : having someone yawn hear another person has no influence on if the other* person will yawn . In order to conduct the simulation , a researcher wrote yawn an 14 index cards and not yawn on &G index cards to indicate whether or not a person yawned . "Then he shuffled the cards and dealt them into two groups of size } 1 and If for treatment and control , respectively . He counted how many participants in each simulated group yawned in an apparent response to a nearby yawning person , and calculated the difference between the simulated proportions of yawn - ing AS PerLine , sim - Perl , sim . This simulation was repeated IN, and times lising software to obtain 10, and differences that are due to chance alone . The histogram shows the distribution of the simulated differences . \\# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # " - 0 .6 - 0. 4 - 0 . 2 0.0 0 . 2 0. 4 O. B Patient - Petri ( a ) What are the hypotheses ! ( b ) Calculate the observed difference between the yawning rates under the two scenarios . ( C ) Estimate the -value using the figure above and determine the conclusion of the hypothesis test . `` Myth Busters , beason }, Episode 28