In 2010 a random sample of 250 dog owners was taken and it w

In 2010, a random sample of 250 dog owners was taken and it was found that 140 owned more than one dog. Recently, a random sample of 400 dog owners showed that 200 owned more than one dog. Do these data indicate that the proportion of dog owners owning more than one dog has decreased? Use a 5% level of significance, and p1= proportion of dog owners who owned more than one dog in 2010. What kind of test is this? State the null and alternate hypothesis Compute the value of the test statistic Calculate the p value what is your conclusion? reject or fail to reject H0

Solution

Test of p = 0.56 vs p < 0.56

95% Upper
Sample X N Sample p Bound Z-Value P-Value
1 200 400 0.500000 0.541121 -2.42 0.008

as p-value < 0.05 hence we are rejcting H0 and claim that the proportion will less than 0.5