Question

Suppose the actual proportion of USU students who feel parking is a problem is 0.70. A...

Suppose the actual proportion of USU students who feel parking is a problem is 0.70. A student takes a poll of 100 randomly selected Purdue students and asks them if they feel that parking is a problem.

a. What is the mean for the sample proportion?

b. What is the standard deviation for the sample proportion? (Use 4 decimals)

c. What is the probability that the sample proportion is greater than 0.75? (Use 4 decimals)
  
d. Between what two values does the middle 95% of the sample proportions lie? (Use 4 decimals)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given data

population proportion (p) =0.70

number of sample (n)=100

a) mean of the sample proportion

will be same as the sample population proportion

b)Standard deviation for the sample will be

c)now we have to find the probability of that sample proportion is greater than 0.75

So

Now test Statistic


Now from the standard probability distribution table the probability less than Z=1.09 will be

the probability of getting sample proportion greater than 0.75 will be

d) Since this distribution is a normal distribution so According to empirical rule the 95 % of the sample proportion lies within 2 standard deviation of the mean

that is

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