Good afternoon, can you help me please
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Answer:
a) P ( X ≤ 26 ) = 0.0134
b) The significance of the cell phone causing brain cancer is 1.34 or 0.0134
Step-by-step explanation:
Solution:-
- From the entire population of cell phone users os size N = 346,145 media reported n = 26 people who developed cancer of brain or nervous system.
- The probability of a person developing cancer of the brain or nervous system, assuming that cell phones have no effect, is p = 0.000113.
- Denote a random variable X: The number people who developed cancer of brain or nervous system are normally distributed.
- The expected or mean number of people who developed cancer of brain or nervous system are u = 40.
- The standard deviation ( s ) for the distribution would be:
- The random variate X follows normal distribution with parameters:
X ~ Norm ( 40 , 6.3242^2 )
- The probability of X ≤ 26 cases from the total population of N = 346,145 can be determined by evaluating the Z-score standard value of the test statistics:
- Using standard normal table compute the probability on the left side of Z-score value -2.21371. Hence,
P ( X ≤ 26 ) = 0.0134
- The probability of the less than 26 number of cases who developed cancer of the brain or nervous system is 0.0134 as per media reports.
- So 1.34% of population is a case brain cancer due to cell phones according to media reports.
Which is significant less than the expected number of cases ( 40 ) that occur regardless of cell phone effect.
Answer: The significance of the cell phone causing brain cancer is 1.34 or 0.0134.