A grocery store manager claims that 75% of shoppers purchase bananas at least once a month. Technology was used to simulate choosing 150 SRS of size n=100 from a population of shoppers where 75% buy bananas. The dotplot shows p(hat)=the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.