The APPetsidecom poll contacted 350 married women and 250 ma

The AP-Petside.com poll contacted 350 married women and 250 married men. All owned pets. One hundred and fifteen of the women and 42 of the men replied that their pets are better listeners than their spouses.

1.State the decision rule for .01 significance level: H0: 1 = 2; H1: 1 2. Reject H0 if z is not between____and_____

2. Compute the value of the test statistic.

3. Does this data provide evidence that there is a difference in the proportion of humorous ads in AP-Petside.com poll? Use the .01 significance level. Reject or do not reject H0. There is a no significant or a significant difference between the responses of women and men.

Solution

Null, There Is No Significance between them Ho: 1 = 2
Alternate, There Is Significance between them H1: 1 2
Test Statistic
Sample 1 : X1 =115, n1 =350, P1= X1/n1=0.329
Sample 2 : X2 =42, n2 =250, P2= X2/n2=0.168
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
P^=0.262
Q^ Value For Proportion= 1-P^=0.738
we use Test Statistic (Z) = (P1-P2)/(P^Q^(1/n1+1/n2))
Zo =(0.329-0.168)/Sqrt((0.262*0.738(1/350+1/250))
Zo =4.412
| Zo | =4.412
Critical Value
The Value of |Z | at LOS 0.01% is 2.576
We got |Zo| =4.412 & | Z | =2.576
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value: Two Tailed ( double the one tail ) -Ha : ( P != 4.4116 ) = 0
Hence Value of P0.01 > 0,Here we Reject Ho

[ANSWERS]
1.Reject H0 if z is not between -2.576 AND 2.576
2.Zo =4.412
3. Reject, There is a significant or a significant difference between the responses
of women and men