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. O Ho: Effect on ADHD is independent of the treatment; HA: Effect on ADHD is dependent of the treatment O Ho: Effect on ADHD is dependent of the treatment; HA: 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.) Test statistic

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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.
O Ho: Effect on ADHD is independent of the treatment; HẠ: Effect on ADHD is dependent of the treatment
O Ho: Effect on ADHD is dependent of the treatment; HA: 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.)
Test statistic
Transcribed Image Text: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. O Ho: Effect on ADHD is independent of the treatment; HẠ: Effect on ADHD is dependent of the treatment O Ho: Effect on ADHD is dependent of the treatment; HA: 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.) Test statistic
c. Find p-value.
O p-value < 0.01
O 0.01 s p-value < 0.025
O 0.025 s p-value < 0.05
O 0.05 s p-value < 0.10
O pvalue 2 0.10
d. What is your conclusion?
O Reject Ho; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent.
O Reject Ho; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent.
O Do not reject Ho; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent.
O Do not reject Ho; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent.
Transcribed Image Text:c. Find p-value. O p-value < 0.01 O 0.01 s p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O pvalue 2 0.10 d. What is your conclusion? O Reject Ho; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent. O Reject Ho; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent. O Do not reject Ho; there is not enough evidence to support the claim that the effect on ADHD and treatment are dependent. O Do not reject Ho; there is enough evidence to support the claim that the effect on ADHD and treatment are dependent.
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