2 An investigation in 2007 into the incidence of tuberculosis (TB) in badgers in a certain area found that 42 out of a random sample of 190 badgers tested positive for TB.
In 2010, 48 out of a random sample of 150 badgers tested positive for TB.

1. Assuming that the population proportions of badgers with TB are the same in 2007 and 2010, obtain the best estimate of this proportion.
2. Carry out a test at the \(2 \frac { 1 } { 2 } \%\) significance level of whether the population proportion of badgers with TB increased from 2007 to 2010.