Lab #7 Bonus Quiz .

It is estimated that 65% of students in the country, as well as each state, will pass the AP Biology exam in May.

Is this the expected value or the observed value?

Though it is expected that about 65% of the students in the country are expected to pass the AP Biology exam, in NY, 70% of the students passed in comparison.

Does the percentage of students passing in NY represent the expected or observed number?

In 2022, 72 students took the AP Biology exam in West Babylon. Of these, it was expected that 65% would pass.

Calculate how many students passed the AP Exam. Please round to ONE decimal point. Be sure to write this number on a scrap piece of paper - you will need this number for another question!

Mathematical Equivalence

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In NY in 2022, 72 took the AP Biology exam. Though it was expected the passing rate would match the global rate of 65%, in West Babylon 70% of the students passed the exam.

Calculate the number of students that passed the exam in 2022. Record this number to ONE decimal point. Be sure to write this number down - you will need it later!

Mathematical Equivalence

ON

Now you will begin to calculate the chi-square for the expected and observed values seen in West Babylon in 2022 for the AP Biology exam.

As a reminder, 65% were expected to pass. 70% actually passed. 72 students took the exam.

First you will record your number for the PASSING expected and observed results.

Be sure to round to THREE decimal points. This is one part of the chi-square. In the next question, you will calculate the second half.

Record your answer on a scrap paper - you will need it later!

Mathematical Equivalence

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In the second half of the chi-square, you will calculate the chi-square for the expected and observed values seen in West Babylon in 2022 for the AP Biology exam for those that DID NOT PASS.

As a reminder, 65% were expected to pass. 70% actually passed. 72 students took the exam.

Now you are recording the number for those that DID NOT PASS, using the expected and observed results from the passing.

Be sure to round to THREE decimal points.

Record your answer on a scrap paper - you will need it later!

Mathematical Equivalence

ON

In the country, it is expected that 65% of all students will pass the AP Biology exam. This holds true for each state and each individual class. However, in 2022 in West Babylon, 70% of the students passed the AP Biology exam.

Write a null hypothesis for the chi-square analysis that will occur between the expected and observed numbers within West Babylon.

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You now have two parts of the chi-square: the number for passing and the number for not passing.

Add these two numbers together and round to THREE decimal places.

This is your chi-square.

Mathematical Equivalence

ON

How many degrees of freedom are there for this problem?

What is the critical value?

Choose the correct degree of freedom and the corresponding critical value.

• 1 Degree of Freedom

• 2 Degrees of Freedom

• 3 Degrees of Freedom

• 3.84 Critical Value

• 5.99 Critical Value

Can you accept or reject your null hypothesis?

State whether you accept or reject and why.

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