Clinical tests of the allergy drug Seldane yielded the results summarized in the table below. At the 5%5% significance level, test to determine if there is a relationship between the use of the drug and the occurrence of headaches. Seldane Users Placebo Users Control Total Headache 42 56 60 158 No headache 760 682 635 2077 Total 802 738 695
Clinical tests of the allergy drug Seldane yielded the results summarized in the table below. At the 5%5% significance level, test to determine if there is a relationship between the use of the drug and the occurrence of headaches.
| Seldane Users | Placebo Users | Control | Total | |
|---|---|---|---|---|
| Headache | 42 | 56 | 60 | 158 |
| No headache | 760 | 682 | 635 | 2077 |
| Total | 802 | 738 | 695 | 2235 |
Perform a Chi-squared test in the following steps:
Step 1: State the null and alternative hypotheses:
H0:H0:There is between the use of the drug Seldane and the occurrence of headaches.
H1:H1: There is between the use of the drug Seldane and the occurrence of headaches.
Step 2: Find the critical value(s):
- State αα-value (in decimals) with the degree(s) of freedom, separated by a comma.
- State the critical value(s): CV= (Do not round the table value.)
Step 3. State the rejection region:
- Which area(s) is/are rejection region(s)?
- Reject H0H0 if test statistic value the critical value(s). (Select >< if outside of two CV or <> if between two CV)
Step 4. Decision: If the test statistic for this question is 6.988, write the decision.
Since the test statistic is the critical value, we H0H0 at the 5% significance level.
Step 5. Write the conclusion statement:
There sufficient evidence to conclude that there is between the use of the drug Seldane and the occurrence of headaches.
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