A mobile computer network consists of a number of computers (called nodes) that communicate with each other while moving throughout a region. A node that is out of transmission range of the other nodes, so that it is unable to communicate, is said to be partitioned. In studies carried out at the Colorado School of Mines, S. Kurkowski found that in a network containing 185 nodes in which destinations were chosen at random from a uniform distribution, 19 nodes were partitioned. J. Norman found that in a network containing 164 nodes whose movements mimicked those on a college campus, 30 nodes were partitioned. Find a 99% confidence interval for the difference between the proportions of partitioned nodes in the two networks.

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A mobile computer network consists of a number of computers (called nodes) that
communicate with each other while moving throughout a region. A node that is out of
transmission range of the other nodes, so that it is unable to communicate, is said to be
partitioned. In studies carried out at the Colorado School of Mines, S. Kurkowski found that
in a network containing 185 nodes in which destinations were chosen at random from a
uniform distribution, 19 nodes were partitioned. J. Norman found that in a network
containing 164 nodes whose movements mimicked those on a college campus, 30 nodes
were partitioned. Find a 99% confidence interval for the difference between the
proportions of partitioned nodes in the two networks.

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