Assume that 25% of all households in Santa Clara county have a burglar alarm (population characteristic). A random sample of 200 Santa Clara county households is taken. What is the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm

The probability is  

Step-by-step explanation:

From the question  we are told that

   The population proportion is  p =  0.25

   The sample size is  n  =  200  

Generally given that the sample size is large the mean of this sampling distribution is mathematically represented as

 Generally the standard deviation is mathematically represented as

=>    

=>    

Generally the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm is mathematically represented as  

=>  

=>  

From the z table  the area under the normal curve to the left corresponding to  1.6329 and  -1.6329  is

and

So

=>

.19875994384

step-by-step explanation:

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