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The tires are also tested for failure during a road test where they are subjected to road hazards. A test of 600 tires resulted in the failure of 30 tires.

a) Find a 95% confidence interval on the proportion of failures for the new formula of of rubber.

b) The proportion of failures for the existing line of tires is p=.1 . Can we conclude the new line of tires is better? (use alpha=.05)

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