Question

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of the survey of 169 fatal accidents were recorded. Is there enough evidence to reject the executive’s claim at alpha = 0.025?
Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

Frequency 14 16 11 14 16 11 19 23 13 13 9 10

Question 1: Indicate the correct formulation of the hypotheses.


A) H0: Number of fatal accidents does not vary from month to month, HA: Number of fatal accidents does vary from month to month

B) H0: Number of fatal accidents does vary from month to month, HA: Number of fatal accidents does not vary from month to month

Answer 1

Answer:

A) H0: Number of fatal accidents does not vary from month to month, HA: Number of fatal accidents does vary from month to month

Step-by-step explanation:

1) 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".

2) Solution to the problem

On this case we want to test if the number of fatal accidents which occur in her state does not vary from month to month

We need to take in count that on the alternative hypothesis never we can hav a symbol of equal or no variation, so based on this the correct system of hypothesis for this case would be:

Null hypothesis: Number of fatal accidents does not vary from month to month

Alternative hypothesis: Number of fatal accidents does vary from month to month

The best option is:

A) H0: Number of fatal accidents does not vary from month to month, HA: Number of fatal accidents does vary from month to month