Question

You are investigating whether polio vaccination rates have changed over a 10-year period in a particular country. You obtain a random sample of 60 districts in the country, and find that the vaccination rate has decreased in 20 of them, and increased in 40 of them. (There were no districts in which the vaccination rate had not changed.) a) What proportion of observed districts showed an increase in vaccination rates? Answer: b) Assuming across the country there had been no real change in vaccination rates over the 10-year period, what would be the probability of observing a district with a positive change? Answer: c) Using a binomial test, you find the probability of observing 40 or more positive changes (or 20 or fewer negative changes), when the true vaccination rate has not changed, is 0.0135. What can you conclude about the change in vaccination rates? Answer: d) What is the observed significance level for the test that the vaccination rate has not changed? Answer:

          You are investigating whether polio vaccination rates have changed over a 10-year period in a particular country. You obtain a random sample of 60 districts in the country, and find that the vaccination rate has decreased in 20 of them, and increased in 40 of them. (There were no districts in which the vaccination rate had not changed.)
a) What proportion of observed districts showed an increase in vaccination rates?
Answer:
b) Assuming across the country there had been no real change in vaccination rates over the 10-year period, what would be the probability of observing a district with a positive change?
Answer:
c) Using a binomial test, you find the probability of observing 40 or more positive changes (or 20 or fewer negative changes), when the true vaccination rate has not changed, is 0.0135. What can you conclude about the change in vaccination rates?
Answer:
d) What is the observed significance level for the test that the vaccination rate has not changed?
Answer:

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you are investigating whether polio vaccination rates have changed over a 10 year period in a particular country you obtain a random sample of 60 districts in the country and find that the v 47842

Added by Charles S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Madhur L

07/31/2023

Step 1

The total number of districts is 60. Therefore, the proportion of observed districts that showed an increase in vaccination rates is $\frac{40}{60} = \frac{2}{3} \approx 0.67$. Show more…

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You are investigating whether polio vaccination rates have changed over a 10-year period in a particular country. You obtain a random sample of 60 districts in the country, and find that the vaccination rate has decreased in 20 of them, and increased in 40 of them. (There were no districts in which the vaccination rate had not changed.) a) What proportion of observed districts showed an increase in vaccination rates? Answer: b) Assuming across the country there had been no real change in vaccination rates over the 10-year period, what would be the probability of observing a district with a positive change? Answer: c) Using a binomial test, you find the probability of observing 40 or more positive changes (or 20 or fewer negative changes), when the true vaccination rate has not changed, is 0.0135. What can you conclude about the change in vaccination rates? Answer: d) What is the observed significance level for the test that the vaccination rate has not changed? Answer:

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Transcript

00:01 Hello students, a public health official in a large city decided that in the company the evidence could be presented that less than 90 % of the children under the 6th year.

00:11 Then given is that the c is equal to 90 % then c's coefficient is 90 % and then they would carry out an expensive immunization program throughout the city.

00:28 A random sample of n equal to 537 children under the 6th year of the age in the city of those 400 let x equals to 460 had been the immunized for the dpt.

00:42 Obtain the two -sided approximate 95 % confidence interval.

00:47 Okay then we have to find the 95 % confidence interval for the proportion then 100 into 1 minus alpha percent confidence interval for the population proportion p is given by p hat into plus minus z alpha by 2 into under root of p hat into 1 minus p hat divided by n.

01:13 Then first calculate the p hat.

01:16 P hat is equal to x upon n.

01:19 The value of x is given n is given put the values here we get the value of p equal to 0 .8566.

01:27 Now calculate value of alpha 1 minus alpha equals to c and we know that value of c is 0 .95.

01:35 Simplified we get value of alpha equal to 0 .05.

01:40 Then z alpha by 2 equals to z 0 .05 divided by 2.

01:46 We get z 0 .025.

01:49 By using a statistical table we get this value as equal to 1 .96.

01:56 Then now calculate this part under root of p hat into 1 minus p hat upon n which is equal to put the value of p hat 0 .8566 into 1 minus p hat 0 .1434 divided by n...

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