Question

A growing problem in American schools involves students who develop back problems, possibly as a result of carrying too much weight in their backpacks. It has been proposed that students should carry no more than 10% of their body weight in their backpack. To investigate how much students carry in their backpacks, student researchers at a university sampled 100 students. They asked these students to report their body weight, and they weighed how much was carried in their backpack.

Conduct a significance test of whether less than half of all students at this university carry at least 10% of their body weight in their backpack.

Would my Ho: π=0.50 and Ha: π<0.50?

Answer 1

Claim: population proportion is less than 0.50

The null and alternative hypothesis are

H0: = 0.50 , Ha : < 0.50