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.

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.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200