Solution a n 100 SRS size The number of pupils who claimed they recycle is 55 We must decide whether there is persuasive evidence that more than half of the pupils at the school would indicate they recycle regularly using the Fathom dot plot which displays the results of taking 200 SRSs of 100 students from a population in which the genuine proportion who recycle is 0 50 A simulation is a model of random behaviour that is usually carried out with random numbers It is insufficient proof that more than half of the students at the school recycle because Yes was replied by 55 out of 100 pupils 55 100 0 55 We can see that the proportion of 0 55 has a lot of dots above it in the dot plot As a result a proportion of 0 55 is quite likely to be obtained when the genuine proportion is 0 5 and there is insufficient evidence to support the assertion that more than half of the school s students recycle b Because 63 out of 100 students answered Yes this statistic strongly suggests that the majority of the school s students recycle 0 63 63 100 We can see that the proportion of 0 63 has only one dot above it and no dots to the right of it in the supplied dot plot Thus while the genuine proportion is 0 5 a proportion of 0 63 is quite likely to be obtained and there is adequate evidence to support the assertion that more than half of the school s students recycle As a result the outcome