A Computer Software Magazine Compares the Rates of Malware Infection

A computer software magazine compares the rates of malware infection for computers protected by security software A with the rates of infection for computers protected by security software B. They found that out of 947 computers with security software A, 87 became infected with some type of malware after 1000 hours of internet interaction. For security software B,
62 out of 539 computers became infected after 1000 hours of internet interaction. Assuming these to be random samples of infection rates for the two security software packages, construct a 98% confidence interval for the difference between the proportions of infection for the two types of security software packages. Does the confidence interval contradict the claim that the proportion of infections is the same for the two types of security software?