Respuesta :
Answer:
For this case we want to test if do men give higher monetary donations than women in the month of December (alternative hypothesis) and the complement should be the null hypothesis. So then the sytem of hypothesis are:
Null hypothesis:[tex] \mu_m -\mu_w \leq 0[/tex]
Alternative hypothesis : [tex] \mu_m -\mu_w >0[/tex]
So then the best option would be:
d. Ha: mum -muw > 0
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if do men give higher monetary donations than women in the month of December (alternative hypothesis) and the complement should be the null hypothesis. So then the sytem of hypothesis are:
Null hypothesis:[tex] \mu_m -\mu_w \leq 0[/tex]
Alternative hypothesis : [tex] \mu_m -\mu_w >0[/tex]
So then the best option would be:
d. Ha: mum -muw > 0
The alternative hypothesis defines the assumption which we wish to test, it is always the opposite of the null hypothesis. Hence, the alternative hypothesis in the scenario described is :Ha: mum -muw > 0
- The alternative hypothesis in these scenario is one tailed since we oy intend to check if the men's donation is greater (>) that of women.
- A greater donation from men will mean that, when subtracted from women's donation, then the value obtained will be positive.
Hence, the correct representation would be Ha: mum - muw > 0
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