In a fifth grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them
2 answers:
Answer: 1) 1/2 students like to go to action movies,
2) 2/5 students like to go to action and comedies.
Step-by-step explanation:
Let the total number of students are x,
Thus, the number of students who like to go movies = 3/4 of total students =
The number of students who like to go action movies = 2/3 of students who like to go movies = 2/3 of 3x/4 = = x/2
Hence, the total fraction of students who like to go action movies = Number of students who like to go action movies / Total students
=
= 1/2
Now, the number of student who like to go comedy movie = 4/5 of the students who like to go action movies
= 4/5 of x/2
=
=
Hence, the fraction of students who like to go comedy movies
= Total students who like comedies/ Total students
=
= 2/5
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Answer:
Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Mean mileage for the Carter Motor Company's new sedan
We can design the null hypothesis and alternate hypothesis as:
Type I error:
- It is the false positive error.
- It is the error of rejection a true hypothesis.
Type II error:
- It is the false negative error.
- It is the non rejection of a false null hypothesis.
Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.