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.
H_{0}: Effect on ADHD is independent of the treatment; H_{A}: Effect on ADHD is dependent of the treatment
H_{0}: 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 H_{0}; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent.
Reject H_{0}; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent.
Do not reject H_{0}; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent.
Do not reject H_{0}; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent.
Next Visit question map
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.
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