A student hypothesized that in the US adult population, women drank the same amo
ID: 3261589 • Letter: A
Question
A student hypothesized that in the US adult population, women drank the same amount of water per day as men per kg of body weight as the two-tailed null hypothesis. The probability value for his null hypothesis was 0.02. So he concluded that:
a. Women drank a greater amount of water per kg of body weight per day than men
b. Men drank a greater amount of water per kg of body weight per day than women
c. Women drank the same amount of water per kg of body weight per
day as men
d. He rejected the null hypothesis that women drank the same amount of water per kg of body weight per day as men
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Explanation / Answer
Here, the null hypothesis is given by,
H0 : women drank the same amount of water per kg of body weight per day as men
against
H11 : not H0 ( two-tailed alternative)
H12 : women drank more water than men (upper tailed alternative)
H13 : women drank less water than men (lower tailed alternative)
Here, the p-value is coming out to be 0.02.
a) For testing H12, let us say the p-value is = 0.02 which is less than 0.05 which can be used to conclude that H0 is rejected on the basis of the given data and we can conclude at 5% level of significance that the women drank more water than men.
b) For testing H13, let us say the p-value is = 0.02 which is less than 0.05 which can be used to conclude that H0 is rejected on the basis of the given data and we can conclude at 5% level of significance that the women drank less water than men or men drank greater amount of water than men.
c) For testing any of the above hypothesis, if the p-value is coming out to be 0.02 which is basically greater than say 0.01. So, we can conclude on the basis of the given data that the H0 is accepted and women drank same amount of water as men at 1% level of significance. (Observe that change in the value of alpha = 0.01 will result in different result so it will depend on the choice of the value of level of significance).
d) For testing H11 if the p-value comes out to be = 0.02 which is basically less than 0.05 then at 5% level of significance we reject H0 and conclude that women did not drink same amount of water than men.
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