TABLE 10-4
A real estate company is interested in testing whether, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.

-Referring to Table 10-4, suppose α = 0.10. Which of the following represents the correct conclusion?
A) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
B) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
C) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
D) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.

Question

TABLE 10-4
A real estate company is interested in testing whether, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.
 
-Referring to Table 10-4, suppose α = 0.10. Which of the following represents the correct conclusion?
A) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis. 
B) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis. 
C) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis. 
D) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.

Quizplus · Accepted Answer

The null hypothesis is that the mean amount of time families in Gotham have been living in their current homes is equal to the mean amount of time families in Metropolis have been living in their current homes. The alternative hypothesis is that the mean amount of time families in Gotham have been living in their current homes is less than the mean amount of time families in Metropolis have been living in their current homes. Since the p-value is less than the significance level of 0.10, we reject the null hypothesis and conclude that there is enough evidence to support the alternative hypothesis that the mean amount of time families in Gotham have been living in their current homes is less than the mean amount of time families in Metropolis have been living in their current homes.

TABLE 10-4 a Real Estate Company Is Interested in Testing Whether, on Whether