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a scientist claims that 9% of viruses are airborne. if the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 596 viruses would differ from the population proportion by greater than 3%? round your answer to four decimal places.

Sagot :

varshamittal029

The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The information provided is:

n = 596

p = 0.09

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                      

Hence, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

Learn more about Probability here https://brainly.com/question/13604758

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