Proportions
Means
Type of Error
P vs Alpha
Large Enough
100

In a study, 40 seniors were asked about their favorite activities. The answers were as follows: 10 liked reading, 15 liked gardening, and 15 liked painting. What is the percentage of seniors who like reading?  

25%

100

The ages of five students are 12, 14, 15, 16, and 18. What is the mean age of the students?

15 Students

100

when we reject a true null hypothesis. In other words, it's when we mistakenly conclude that there is an effect or relationship when in reality there isn't one.

Type 1

100

P = 0.005  Alpha = 0.05

P is Less, we reject
100

What sample size is commonly considered “large enough” for the sampling distribution of the mean to be approximately normal?

30 or More

200

In a survey of 50 students, 30 said they enjoy playing video games. What percentage of students enjoy playing video games?

60%

200

A runner completes 4 races with times of 30 minutes, 32 minutes, 28 minutes, and 34 minutes. What is the mean time for the races?

31 Minutes 

200

when we fail to reject a false null hypothesis. In other words, it's when we incorrectly conclude that there is no effect or relationship when, in fact, there is one

Type 2 Error 

200

P= 0.10 Alpha= 0.05 

P is Greater, Fail to Reject

200

A researcher has a sample size of 50. Can they assume the sampling distribution of the mean is approximately normal?

Yes 

300

A class of 60 students was surveyed, and 48 of them said they prefer summer over winter. What percentage of the class prefers summer?

80%

300

The scores on a test for 7 students are: 85, 90, 95, 88, 92, 87, and 91. What is the mean score on the test?

89.57 (rounded to 2 decimal places) 

300

Scenario: A medical test for a disease.

  • Null Hypothesis (H₀): The person does not have the disease.
  • Alternative Hypothesis (H₁): The person has the disease.
  • The test incorrectly shows that the person has the disease (i.e., a false positive), when they actually do not have the disease

Type 1 Error 

300

A hypothesis test has a p-value of 0.03 and an alpha level of 0.05. What decision should be made about the null hypothesis?

Reject the Null 

300

What condition must be met for a sample proportion to be considered approximately normal?

10 - Yes (successes) 

10 - No (failures) 

400

A basket contains 120 apples, 30 of which are green. What percentage of the apples are green?

25%

400

The number of books read by 5 students in one month are: 4, 6, 3, 7, and 5. What is the mean number of books read?

5 Books 

400

A court case (guilty or not guilty):

  • Null Hypothesis (H₀): The defendant is innocent.
  • Alternative Hypothesis (H₁): The defendant is guilty.
  • The jury finds the defendant guilty when they are actually innocent

Type 1 Error 

400

A study reports a p-value of 0.08 with an alpha level of 0.05. What is the correct conclusion?

Fail to Reject 

400

What theorem explains why larger sample sizes make the sampling distribution of the mean more normal?

The Central Limit Theorem 

500

There are 150 workers in a factory. 90 workers like working on the assembly line. What percentage of workers prefer the assembly line?

60%

500

A teacher gives the following grades for 5 students: 78, 85, 92, 88, and 95. What is the mean grade?

87.6

500

A court case (guilty or not guilty):

  • Null Hypothesis (H₀): The defendant is innocent.
  • Alternative Hypothesis (H₁): The defendant is guilty.
  • The jury finds the defendant innocent when they are actually guilty

Type 2 Error 

500

A researcher sets alpha = 0.01 and obtains a p-value of 0.02. What is the conclusion?

Fail to Reject

500

For n = 40 and p=0.1, what is n(1−p)? Is this Large Enough 

36

Not enough 

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