The effectiveness of treating respiratory infections with herbal remedies was st

Question

The effectiveness of treating respiratory infections with herbal remedies was studied "Days of fever was used to measure effects. Among 427 children treated with herbal remedies. the mean number of days with fever was 0.34 with a standard deviation of 1.39 days. Among 495 children given a placebo. the mean was 0.62. with a standard deviation of 1.34 days. Use a 0.01 significance level to test the claim that herbal remedies affect the number of days with fever. Do not assume the population standard deviations are equal. Based on these results, do herbal remedies appear to be effective? Click the icon to view the table of critical values. Choose the correct answer below. O A. Yes, because the null hypothesis is not rejected. O B. No, because the null hypothesis is not rejected. O C. Yes, because the null hypothesis is rejected. O D. No, because the null hypothesis is rejected. Click to select your answer and then click Check Answer.

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

Since p - value is less than 0.01 significance level, we reject the null hypothesis and hence,

Herbal remedies appears to be effective.

Option C is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -0.28 0.090290083 889.71681 -3.1011158 0.002

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