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2 answers:
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Answer:
a
b
c
With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at a
and that
the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at b
Step-by-step explanation:
From the question we are told that
The sample size is
The number that complained about dirty or ill-equipped bathrooms is
The number that complained about loud or distracting diners at other tables is
Given that the the confidence level is 95% then the level of significance is mathematically represented as
Next we obtain the critical value of from the normal distribution table , the value is
Considering question a
The sample proportion is mathematically represented as
=>
=>
Generally the margin of error is mathematically represented as
The 95% confidence interval is
Considering question b
The sample proportion is mathematically represented as
=>
=>
Generally the margin of error is mathematically represented as
The 95% confidence interval is