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(06.03 MC)

An experiment was conducted to test the effect of a new dietary supplement for weight loss. Ten men and ten women were given the supplement daily for a month; then the amount of weight each person lost was determined. A significance test was conducted at the α = 0.05 level for the mean difference in the number of pounds lost between men and women. The test resulted in t = 2.178 and p = 0.03. If the alternative hypothesis in question was Ha: μm − μw ≠ 0, where μm equals the mean number of pounds lost by men and μw equals the mean number of pounds lost by women, what conclusion can be drawn? (2 points)


Group of answer choices


There is not a significant difference in mean weight loss between men and women.


There is sufficient evidence that there is a difference in mean weight loss between men and women.


There is sufficient evidence that, on average, men lose more weight than women.


The proportion of men

Respuesta :

From the p-value of the test, it is found that the conclusion is:

  • There is sufficient evidence that there is a difference in mean weight loss between men and women.

At the null hypothesis, it is tested if there is no difference between the mean weight loss of men and women, that is:

[tex]H_0: \mu_m - \mu_w = 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is:

[tex]H_1: \mu_m - \mu_w \neq 0[/tex]

The p-value is of 0.03 < 0.05, hence the null hypothesis is rejected, and it is found that there is significant evidence to conclude that there is a difference.

For more on p-values, you can check https://brainly.com/question/13873630

Answer:

There is sufficient evidence that there is a difference in mean weight loss between men and women.

Step-by-step explanation:

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