You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats. you sample 60 men, and 45% own cats. you sample 120 women, and 35% own cats. find the test statistic, rounded to two decimal places. find the test statistic, rounded to two decimal places.

Test statistic =1.30

Step-by-step explanation:

Given that you are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats.

                                             Men                Women            Difference

Sample size n                        60                     120

Proportion p_1, p_2              0.45                   0.35                 0.10

60120180

0.450.350.383333333

274269

p = 0.3833

Std error for proportion difference =

Test statistic =

=

=1.30

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743