Question 593780
Question 1:

March: P1 = prop. of unemployment = 75/1200 ; n = 1200, # unemployed = 75 
April: P2 = prop. of unemployment = 65/1100 ; m = 1100, # unemployed = 65
	
P = P2 -P1  ± z α/2 {{{sqrt (P1(1-P1)/n + P2(1-P2)/m)}}}
P = (65/1100) - (75/1200) ± z 3.5/2 *  {{{sqrt (((75/1200)*(1-75/1200))/1200 + (65/1100)*(1-65/1100)/1100))}}}
P = -0.0034 ± invnorm (0.9825) * 0.009968592
P =  -0.0034 ± 2.108358398 * 0.009968592
P = -0.0034 - 2.108358398 * 0.009968592 = -0.024417365 lower bound
P = -0.0034 + 2.108358398 * 0.009968592 = 0.017617365 upper bound
 
the range is from -0.024 to 0.0176. Therefore since 0 is within this range, it can be assumed that the policy of reducing unemployment  is less effective because the proportion of unemployment in April should have been smaller than that of March. Statistically, H0: P2 - P1 < 0.