Let n: sample size p: population proportion p^ : sample proportion. For help on calculating probabilities, check In this problem we want to check for normality. In other words, check to see if the "Central Limit Theorem" (CLT) holds, then calculate for the probability. n=147 p=13% a) Since n⋅p= ["", "", "", ""] ≥10 and n(1−p) = ["", "", "", ""] ≥10 , the CLT holds for the sample proportion p^. b) p^~ Normal (μp^ = ["", "", "", ""] , σp^ = ["", "", "", ""] ) c) P(p^<0.11) = ["", "", "", ""] A Pew Research report indicated that 88% of 18-27 years of age own a smartphone. A random sample of 120 people aged 18-27 is drawn. By the CLT, p^ the sample proportion of 18-27 year old that own smartphones is normally distributed (since it satisfies the two conditions of: n⋅p≥10andn⋅(1−p)≥10 Now answer the following questions: a) The μp^= ["", "", "", ""] and σp^= ["", "", "", ""] . b) P(0.82

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Let n: sample size        p: population proportion      p^ : sample proportion. For help on calculating probabilities, check

In this problem we want to check for normality. In other words, check to see if the "Central Limit Theorem" (CLT) holds, then calculate for the probability.

n=147      p=13%

a) Since n⋅p=       ["", "", "", ""]  ≥10  and n(1−p) =      ["", "", "", ""]  ≥10 , the CLT holds for the sample proportion p^.

b) p^~ Normal (μp^ =      ["", "", "", ""]    ,  σp^ =      ["", "", "", ""]  )

c) P(p^<0.11) =      ["", "", "", ""] 

 

 

A Pew Research report indicated that 88% of 18-27 years of age own a smartphone. A random sample of 120 people aged 18-27 is drawn.

By the CLT, p^ the sample proportion of 18-27 year old that own smartphones is normally distributed (since it satisfies the two conditions of: n⋅p≥10andn⋅(1−p)≥10 

Now answer the following questions:

a) The μp^=      ["", "", "", ""]  and σp^=      ["", "", "", ""]  .

b) P(0.82<p^<0.90) =      ["", "", "", ""] 

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