Reference no: EM132201216

An analysis was conducted in 1999 to find an association between autism and the rubella vaccine. Children who were linked to have the rubella vaccine from the North Thames region in the United Kingdom and born from 1979 to 1999 served as the population of interest, which consisted of 498 total cases. Of these cases, only 261 children had core autism. The cases that were confirmed as autism by the International Classification of Diseases consisted of 293 children, but only 214 had core autism. Test the claim that the proportion of children with core autism from confirmed autism cases is higher than the children who were only linked to have the rubella vaccine with core autism by using a 0.05 significance level.

a. Reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that core autism occurs at higher frequency in confirmed autistic cases than in those linked only to the rubella vaccine.

b. Reject the null hypothesis and conclude that there is sufficient evidence to support the claim that core autism occurs at a higher frequency in confirmed cases than in those linked only to the rubella vaccine.

c. Reject the null hypothesis and conclude that there is sufficient evidence to support the claim that core autism occurs at a lower frequency in confirmed cases than in those linked only to the rubella vaccine.

d. Fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that core autism occurs at a lower frequency in confirmed autistic cases than in those linked only to the rubella vaccine.

e. Fail to reject the null hypothesis and conclude that there is not sufficient to support the claim that core autism occurs at a higher frequency in confirmed autistic cases than in those linked only to the rubella vaccine.