Answers to the following questions should be calculated in Matlab and given to 4 decimal places. Be careful not to introduce errors by rounding in any intermediate calculations as this may lead to an incorrect final answer.

In a certain state, 300 urban residents were surveyed and and it was found that 52 were in favour of increasing the speed limit from 100 km/h to 110 km/h. A survey of 180 rural residents from the same state was also conducted and it was found that 41 supported increasing the speed limit from 100 km/h to 110 km/h.

Let1be the proportion of residents in the urban population in favour of increasing the speed limit and let2be the proportion of residents in the rural population. Test, at the 5% level of significance, the hypothesisH0:1=2.

(a) Give the value of z-statistic ?

(b) Find the P-value ?