A population proportion is to be estimated and a 95 degree of ...

[Alygatorr01285]

A population proportion is to be estimated and a 95 degree of confidence is desired. In general, if one wishes to decrease the margin of error by a factor of 3 (for example from E = 0.03 to 0.01), how will the necessary sample size change?
 
  A) It will decrease by a factor of 9 B) It will increase by a factor of 9
  C) It will increase by a factor of 3 D) It will decrease by a factor of 3

Question 2

In a random sample of 360 women, 65 favored stricter gun control laws. In a random sample of 220 men, 60 favored stricter gun control laws.
 
  At the 0.05 significance level, do the data provide sufficient evidence to conclude that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control?

[shaquita]

Answer to Question 1

B

Answer to Question 2

H0: p1 = p2, Ha: p1 > p2.
 = 0.05
Test statistic: z = 1.21. P-value = 0.1131
Do not reject the null hypothesis. At the 5 significance level, the data do not provide sufficient evidence to conclude that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control.