Market researchers interviewed a random sample of 60 men and a random sample of 55 women about their preferences for different color designs for the packaging of a certain product. Of those interviewed, 23 men and 28 women preferred color design X. Which of the following is the correct test statistic for a two-sample z-test for a difference in population proportions for men and women (men minus women) in their preference for color design X?
0.51 -0.38 (0.41)(0.56)(+ ++) 23-28 2= | (0.38) (051) ( ) 23-28 с | (0.44) (0.5) (= + =) 0.38-0.51 2= D (0.44) (0.56) () 0.38 0.51 2= E (0.44) (056) (+1)

Respuesta :

The correct test statistic for the difference in population for the gender will be 0.38/0.51 root (0.44)(0.56)(1/65 + 55).

What is a test statistic?

It should be noted that a test statistic simply means the number that is calculated from the statistical test of a hypothesis.

From the complete question, the test statistic for a two-sample z-test for a difference in population proportions for men and women is 0.38/0.51 root (0.44)(0.56)(1/65 + 55).

This is vital as it shows how the observed data matches the distribution that's expected under the null hypothesis.

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