Amarket researcher for a provider of music player accessories wants to know the proportion of customers who own cars to assess the market for a new car charger. a survey of 400400 customers indicates that 7373% own cars. a) what is the estimated standard deviation of the sampling distribution of the proportion? b) how large would the estimated standard deviation have been if he had surveyed only 100100 customers (assuming the proportion is about the same)?

a) The estimated standard deviation of the sampling distribution of the proportion is 0.023

b) the estimated standard deviation have been if he had surveyed only 100 customers is 0.046

Step-by-step explanation:

given information:

the number of sample, n = 400

sample proportion, p = 70% = 0.7

a) standard deviation of a sample proportion is

σ =

  =

  = 0.023

b) if n = 100, so

σ =

  =

  = 0.046

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