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The CBEST is a test that individuals in California must take before they can become substitute teachers at the K-12 level. One portion of the exam is devoted to mathematics and it consists of 50 multiple choice questions that each have 5 possible options. Suppose Jim took the CBEST test and decided to randomly guess on all 50 questions. Use this information to answer the following question.  What is the probability that Jim gets exactly 14 correct?  Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.

A math professor was interested in figuring out whether students taking mathematics classes  at his school preferred to take them online or face to face. He decided to randomly survey students taking mathematics classes that semester. He ended up surveying 110 students who were taking math classes that semester, and 42 of them stated that they preferred taking their math classes online while 68 of them preferred taking them face to face. Construct and interpret a 90% confidence interval for the true proportion of students at the school that prefer to take math classes face to face.  Make sure to address the following in your response: Check any and all relevant assumptions and state how you determined whether or not they were satisfied (Be as specific as possible) Make sure to type your confidence interval in an interval format with each bound rounded to 3 decimal places [i.e. (12.345, 45.678)] Make sure to include an interpretation in context of the given problem

If you could offer 1 piece of advice to students taking this class next semester, what would it be?

A survey was taken of students enrolled in STEM classes at Taft College. One of the questions asked which city the students live in, and one of the other questions asked about their major. The results are shown below. Use them to answer the probability question that follows.  Probability Table Bakersfield Taft Shafter Other Math 3 5 2 4 Chemistry 9 4 1 5 Biology 4 13 8 6 Engineering  14 15 2 1 Physics 3 1 0 2   What is the probability that a randomly selected student from this survey is a Math major?    Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.123. 

A person’s favorite beverage (tea, coffee, soda, etc.) would be an example of which measurement scale?

A survey was taken of students enrolled in STEM classes at Taft College. One of the questions asked which city the students live in, and one of the other questions asked about their major. The results are shown below. Use them to answer the probability question that follows.  Probability Table Bakersfield Taft Shafter Other Math 3 5 2 4 Chemistry 9 4 1 5 Biology 4 13 8 6 Engineering  14 15 2 1 Physics 3 1 0 2   What is the probability that a randomly selected student from this survey is a biology major given that they live in Taft?   Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.123. 

Select the statistical term that most closely matches the definition below: “A numerical value that summarizes the entire population”

Suppose you are working on a political campaign. You are tasked to figure out what proportion of voters are in favor of your candidate. You want to be 96% confident within 6% of the true proportion. What sample size would be required in this scenario?

Suppose you are working on a political campaign. You are tasked to figure out what proportion of voters are in favor of your candidate. You want to be 90% confident within 1% of the true proportion. What sample size would be required in this scenario?

A study was conducted and it found that the mean annual salary for all California residents was $63,783 and the true standard deviation for all California residents was $7,240. Suppose you were to randomly sample 50 California residents. Use this information to answer the following question.  What is the probability that the average salary for the 50 individuals in your sample would be anywhere from $65,750 to $68,125? Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.