An annual survey of first year college students asks 276000 students about their
ID: 3171246 • Letter: A
Question
An annual survey of first year college students asks 276000 students about their attitudes on a variety of subjects. According to a recent survey, 55% of first year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first year students believe that abortion should be legal. Find the test statistic and the p value. An annual survey of first year college students asks 276000 students about their attitudes on a variety of subjects. According to a recent survey, 55% of first year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first year students believe that abortion should be legal. Find the test statistic and the p value.Explanation / Answer
Null and Alternative Hypothesis:
H0: P = 0.50
H1: P > 0.5
Level of significance:
a = .05
z = (p^ - P) / sqrt ((P*(1-P))/n)
= (0.55-0.5)/sqrt(0.5*(1-0.5))/276000)
= 52.54
The value of the test statistics is 52.54
The p-value = P ( z > 52.54 )
By using Normal Distribution Table we get,
P ( z > 52.54 ) = 0
The p-value is approximately 0.
P-value is less than the level of significance (0 < .05); the null hypothesis can be rejected.
At 5% level of significance there is sufficient evidence to conclude that over half of all first year students believe that abortion should be legal.