Question

Please help asap!!!

Assume you have a hypothesis test as follows. Ho: P1 – P2 = 0 | 1 HA : p1 - P2 # 0 You also know based on two surveys that: Survey 1: N1 =90,Ể1 =0.45 Survey 2: N2 =82,P2 =0.15. Find the Z test statistic. Note: 1- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places.

Answer 1

Solution:

$\bar{P}$ = ( x₁ + x₂ ) / ( n₁ + n₂ )

= ( 40 + 12) / ( 90+82)

= 0.30

1 - $\bar{P}$ = 0.70

Test statistics

z = ($\hat p$₁ - $\hat p$ ₂ ) / $\sqrt{}$ $\bar{P}$*(1-$\bar{P}$) ( 1/n₁ + 1/n₂ )

= ( 0.45 - 0.15) / $\sqrt{}$ (0.30 * 0.70 ) (1/90 + 1/82 )

= 0.30