Question 4 Suppose we are testing the null hypothesis Ho: p=0.3, and want to use a significance level of a= 0.05. What sample size should we use if we want a power [probability to correctly reject Ho in the proper direction] of 75% when the true proportion is p = 0.35? Please round up and report your answer to the next highest whole number.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 4
Suppose we are testing the null hypothesis Ho: p=0.3, and want to use a significance level of
a = 0.05. What sample size should we use if we want a power [probability to correctly reject Ho in
the proper direction] of 75% when the true proportion is p = 0.35? Please round up and report
your answer to the next highest whole number.
Question 5
Suppose we are testing the null hypothesis Ho: p=0.4, and will gather data from N = 200
respondents. If we are using a 90% confidence interval, what is the power of our test to detect if
the true proportion was p = 0.3? Please round your answer to 2 decimal places; do NOT convert to
a percentage.
Question 6
Suppose we are testing the null hypothesis Ho: p= 0.85, and will gather data from N= 318
respondents. If we are using a 95% confidence interval, what is the power of our test to detect if
the true proportion was p = 0.82? Please round your answer to 2 decimal places; do NOT convert
to a percentage.
Transcribed Image Text:Question 4 Suppose we are testing the null hypothesis Ho: p=0.3, and want to use a significance level of a = 0.05. What sample size should we use if we want a power [probability to correctly reject Ho in the proper direction] of 75% when the true proportion is p = 0.35? Please round up and report your answer to the next highest whole number. Question 5 Suppose we are testing the null hypothesis Ho: p=0.4, and will gather data from N = 200 respondents. If we are using a 90% confidence interval, what is the power of our test to detect if the true proportion was p = 0.3? Please round your answer to 2 decimal places; do NOT convert to a percentage. Question 6 Suppose we are testing the null hypothesis Ho: p= 0.85, and will gather data from N= 318 respondents. If we are using a 95% confidence interval, what is the power of our test to detect if the true proportion was p = 0.82? Please round your answer to 2 decimal places; do NOT convert to a percentage.
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