Asked by Steven
Suppose that 7.6% of all people are allergic to the H1N1 vaccine. A sample of 517 people are selected
a. Calculate the probability that less than 8% of the sample will be allergic to vaccine.
a. Calculate the probability that less than 8% of the sample will be allergic to vaccine.
Answers
Answered by
MathGuru
Mean = np = 517 * .076 = 39.292
Standard deviation = √npq = √(517 * .076 * .924) = √(36.3058) = 6.025
Note: q = 1 - p
x = .08 * 517 = 41.36
Use z-scores:
z = (x - mean)/sd
Therefore:
z = (41.36 - 39.292)/(6.025) = 0.34
Check a z-table for the probability using the z-score calculated above. Remember that the problem is asking "less than" when looking at the table.
I hope this helps.
Standard deviation = √npq = √(517 * .076 * .924) = √(36.3058) = 6.025
Note: q = 1 - p
x = .08 * 517 = 41.36
Use z-scores:
z = (x - mean)/sd
Therefore:
z = (41.36 - 39.292)/(6.025) = 0.34
Check a z-table for the probability using the z-score calculated above. Remember that the problem is asking "less than" when looking at the table.
I hope this helps.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.