91影视

We need to find out the reason for the sample result ($55$out of $100$said "Yes") does not give convincing evidence that more than half of the school's students recycle.

As we know that $55$out of $100$students who answered "yes"

So, $\frac{55}{100}=0.55$

And, We can see that the proportion of $0.55$has a lot of dots above it in the dotplot.

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.

We need to find out the reason for the result would give convincing evidence that a majority of the school's students recycle.

As we know that $63$out of $100$students who answered "yes"

So,$\frac{63}{100}=0.63$

And 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 dotplot.

Thus, when the genuine proportion is $0.5$and there is adequate data to support the assertion that more than half of the school's pupils recycle, a proportion of $0.63$(or a more extreme proportion) is highly unlikely.