Question

Your school has received a grant to upgrade the school library. The librarians used a random sample of 50 students from the entire school. Of the 50 students, 27 would like to see more laptops available for student use. What can be inferred from this information? a. Most students in the school would like to have more laptops available in the library. b. Exactly 46% of the students in the school would like to have an upgrade other than laptops for the library. c. About half of the students want the grant money to be used to buy more laptops for student use. d. Students who use the library the most need more laptops.

Answer 1

The correct answer is C: About half of the students want the grant money to be used to buy more laptops for student use

Explanation:

You simply do the proportion based on the sample data and solve the fraction, which is around 50%. This means about half of the real population wanted grand money used for more laptops. (This is also the correct answer on edge)

Answer 2

c. About half of the students want the grant money to be used to buy more laptops for student use

Explanation:

Given that your school has received a grant to upgrade the school library.

Sample size = 50

Sample proportion for students who would like to see more laptops available for student use=
`(27)/(50) =0.54`

`H_0: p = 0.5\\H_a: p >0.5`

(Right tailed test at 5% level)

p difference = 0.04

Std error of p =
`√(pq/n) \\=\sqrt{(0.5*0.5)/(50) } \\=0.0707`

Z= p diff/std error = 0.5656

p value = 0.2858

Since p >0.05 we accept null hypothesis.i.e p = 0.5

c. About half of the students want the grant money to be used to buy more laptops for student use