What is the length of the diagonal in a rectangular prism that measures 8mm by 14mm by 6m? Round your answer to the nearest tent
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Answer:
The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
<em>n</em> = 596
<em>p </em>= 0.09
As the sample size is quite large, i.e. <em>n</em> = 596 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.
The mean and standard deviation are:
Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows:
Thus, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.