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Copy of Hypothesis Tests of Proportion with Changing Success

Autor:Kaolee Yang, David Gurney
Move the slider for prop to change the population proportion. Move the slider for size to change the sample size. Move the slider for α to change the level of significance/confidence. Move the type slider to select the test type: left-tailed, right-tailed, or two-tailed. Move the P-value/Critical Value slider to change from the P-value approach to the critical value approach, or visa versa. Move the successes slider to see how the conclusion changes as the number of successes changes.
The graduation rate for Ohio high schools is 80%. North Union High School in Union County claims to have a graduation rate of 85.3%. Assume there are 130 students. Is this statistically higher than the overall graduation rate for Ohio at the 5% level of significance? Perform a complete hypothesis test using the steps below.

List the values of our n, , and . Move the size and prop. sliders above to match to the values of n and .

We know that North High Union has a graduation rate of 85.3%. Out of the 130 students who were surveyed, how students make up this rate? In other words, what is the number of success for North High Union with a graduation rate of 85.3%?

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Write the hypotheses to test this claim.

What kind of hypothesis test is this?

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After you have indicated what type of test this is, move the leftmost slider to match your answer to Question 3.

Does your hypotheses in Question 2 match the hypotheses that are generated above?

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The second step to hypothesis testing is checking the Central Limit Theorem requirements.

Is the sample random and independent? Please explain clearly why.

To check if the sample size is large enough, both conditions here must be met. 1. 2.

What is the number of success?

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What is the number of failures?

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Is the population large enough? In other words, is the population size at least 10 times greater than the sample size? Check the following condition: 

Move the P-value slider to get the critical value. What is the critical value?

Switch the slider back to p-value. What is the p-value?

Make a decision.

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In your own words, interpret what the conclusion in the dynamic part of this activity means in the context of our problem.

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