Are vaccines to thank for the decline of deaths from illnesses like measles and diphtheria?

NOT ACCORDING TO CDC DOCUMENTS!

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Graph 1, Influenza & Pneumonia- The Influenza vaccine was introduced in 1960 and the Pneumonia vaccine was introduced in 2001.

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Graph 2, Measles- The Measles vaccine was introduced in 1963.

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Graph 3, Diphtheria- The Diphtheria vaccine was introduced in 1949.

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Graph 4, Typhoid- No widespread vaccination program for Typhoid.

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Graph 5, Tuberculosis- The BCG/TB vaccine was introduced in 1953.

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Source: https://www.cdc.gov/nchs/data/vsus/vsrates1940_60.pdf