In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 54 subjects wore magnetic insoles and 41 subjects wore nonmagnetic insoles. The results are shown below. At α = 0.01, can you support the claim that there is a difference in the proportion of subjects who feel all or mostly better between the two groups?

Do You Feel All or Mostly Better?

(a) Identify the claim and state H₀ and H_a,

(b) Find the critical value(s) and identify the rejection region(s),

(c) Find the standardized test statistic z,

(d) Decide whether to reject or fail to reject the null hypothesis,

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent. If convenient, use technology.

Yes 18 Yes No 17 37 No 0 23 Nonmagnetic Insoles Magnetic Insoles