Question

Check you please answer the following question

Many parents have turned to St. John’s wort, an herbal remedy, to treat their children with attention deficit hyperactivity disorder (ADHD). The Journal of the American Medical Association (June 11, 2008) published an article that explored the herb’s effectiveness. Children with ADHD were randomly assigned to take either St. John’s wort capsules or placebos. The contingency table below broadly reflects the results found in the study. (You may find it useful to reference the appropriate table: chi-square table or F table)

	Effect on ADHD
Treatment	No Change in ADHD	Improvement in ADHD
St. John's wort	12	15
Placebo	14	13

At the 5% significance level, do the data indicate that St. John’s wort affects children with ADHD?

a. Choose the null and alternate hypotheses.

• H₀: Effect on ADHD is independent of the treatment; H_A: Effect on ADHD is dependent of the treatment

• H₀: Effect on ADHD is dependent of the treatment; H_A: Effect on ADHD is independent of the treatment

b. Calculate the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

c. Find p-value.

• p-value < 0.01

• 0.01 ≤ p-value < 0.025

• 0.025 ≤ p-value < 0.05

• 0.05 ≤ p-value < 0.10

• p-value ≥ 0.10

d. What is your conclusion?

• Reject H₀; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent.

• Reject H₀; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent.

• Do not reject H₀; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent.

• Do not reject H₀; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent.

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Answer 1

a) The null and alternate hypotheses.

H0: Effect on ADHD is independent of the treatment;

HA: Effect on ADHD is dependent of the treatment.

b) The test statistic: Chi-square = 0.297

c) The p-value =0.586

Answer: p-value ≥ 0.10

d) Conclusion:

Do not reject H0; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent.