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In: Statistics and Probability

A researcher wants to see if she can confidently claim that over 20% of students are...

A researcher wants to see if she can confidently claim that over 20% of students are transfering. she will randomly sample 600 students. She decides to reject H0 if if p^ > 0.2335 where Ha: p > 0.20

a) For the test she set up, find the probabilty of making a type II error if the true population proportion is 17%.

b) For the test she set up, find the probability of making an error of the appropriate type if the true population proportion is 18%.

c) For the test she set up, find the probabilty of making a correct inference if the true population proportion is 21%.

d) What is the significance level she used to set ip the test?

e) The researcher found that 22.5% of the sample plan to transfer. What can she conclude at the significance level you found in part d?

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