Public health officials believe that 90% of children have been vaccinated against measles. A random survey of medical records at many schools across the country found that, among more than 13,000 children, only 89.4% had been vaccinated. A statistician would reject the 90% hypothesis with a P-value of P = 0.011. The result is statistically significant, but is it important? Comment.

Question

Yusuf Klein

Mathematics

22 June, 14:07

Public health officials believe that 90% of children have been vaccinated against measles. A random survey of medical records at many schools across the country found that, among more than 13,000 children, only 89.4% had been vaccinated. A statistician would reject the 90% hypothesis with a P-value of P = 0.011. The result is statistically significant, but is it important? Comment.

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Chiquita · Answer 1

The answer to the question is;

Yes, it is very significant as the number of of observed vaccinated children is below the number of actually vaccinated children by 78.

Step-by-step explanation:

The result of the survey of more than 13,000 children indicate that only 89.4 % had actually been and the P-value indicate that the chance of having a sample proportion of 89.4 % vaccinated is 1.1 %.

P is low at 0.011 for which however the proportion of those vaccinated is between 0.889 and 0.899 using a 95% confidence interval, whereby the decrease from 90 % believed to 89.9 % is small, albeit it depends on the size of the population.

At 89.4 %, in a sample of 13,000, the number of children expected to have been vaccinated but were missed is equal to 90 - 89.4 = 0.6 % = 0.006

Therefore the children missed = 78 children which is significant.