Question

A physical therapist is interested in studying the proportion of adults that receive a physical therapy treatment plan due to sciatica. The physical therapist states the proportion of adults that receive a physical therapy treatment plan due to sciatica is less than 0.30.

If we would like to test the physical therapist's claim with a hypothesis test using a significance level of α=0.10 , which of the following choices are true?

Select the correct answer below:

There is a 10% chance we will conclude p=0.30, but is in fact p<0.30.

There is a 10% chance of rejecting the null hypothesis.

There is a 10% chance we will conclude p<0.30, but is in fact p=0.30.

There is a 10% chance that p<0.30.

Answer 1

A physical therapist is interested in studying the proportion of adults that receive a physical therapy treatment plan due to sciatica. The physical therapist states the proportion of adults that receive a physical therapy treatment plan due to sciatica is less than 0.30.

There is a 10% chance we will conclude p<0.30, but is in fact p=0.30...

As alpha=.10 is type 1 error's upper bound...and this is the the probability of type 1 error....

Hence the 3rd option is correct