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Data was gathered about vaccination rates in small nursing homes (group 1) and large nursing homes...

Data was gathered about vaccination rates in small nursing homes (group 1) and large nursing homes (group 2) and those that had below 80% of their residents vaccinated were flagged for audit. Based on the number of those that had a low vaccination rate, the following confidence interval for the difference of proportions was created: -.1877 < p1 −p2 <-.1103

a) What can be concluded about the populations based on this interval?

b) What is the margin of error in this particular confidence interval?

c) What was the difference in the sample proportion of small and large nursing homes that are about to get an audit?

d) What proportion of all small nursing homes have a vaccination rate of below 80%?

Math   Statistics-And-Probability   
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Answer #1

Answer:-

Given that:-

The given confidence interval is

a)The conclusion about the population based on this interval is that the vaccination rate in small  nursing homes (group 1) is signnificantly less than the  vaccination rate in large nursing homes (group 2) for those that had below 80% of this residents   vaccination were flagged for adult because both the lower and upper bound of the confidence include the negative sign.

b)The margin of error (ME)

c) The difference in the sample proportion of small and large nursing homes that are about to get an

audilt

d) It required the sample size and the sample proportion of all small nursing homes.

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