Would this be 2 tailed test or a 1 tailed test?

" Do dog owners have fewer doctor visits than control subjects?"

I thought it was a 2 tailed test. Help?

* For an independent group t test, when you are instructed to use a 1 tailed test. which means it would be a directional test, how do i know what level of significance to use?
I used .01, but I don't know if that's correct. The mean for the control group is 11.14 and the mean for the experimental group is 6.4. df=10

* When I fail to reject the Hodo I calculate the cohens d and omega squared?

Thank You

Since you are only interested in one direction ("fewer"), it would be a one-tailed test. However, your statement is not clear to me, especially what your control is. Are you saying that people who have dogs visit physicians less often than people who do not have pets or people with other kinds of pets?

The choice of level of significance is up to the person doing the statistics.

You do not mention the variability measures for the two groups, which are needed.

I am unfamiliar with "Cohen's D" and "Omega squared."

I hope this helps a little. Thanks for asking.

To determine whether the given test is a 1-tailed or 2-tailed test, you need to identify the directionality of the hypothesis.

For the statement "Do dog owners have fewer doctor visits than control subjects?", the directionality is not explicitly stated, so we need to consider both possibilities:

1. If the hypothesis is that dog owners have fewer doctor visits than control subjects, then this would be a 1-tailed test with the alternative hypothesis stating that the mean for dog owners is less than the mean for control subjects.

2. If the hypothesis is that dog owners have a different number of doctor visits compared to control subjects (i.e., it does not specify a direction), then this would be a 2-tailed test with the alternative hypothesis stating that the means are not equal.

Without more information, it is difficult to determine whether it is a 1-tailed or 2-tailed test. It would be best to consult your instructor or the guidelines of your assignment to clarify the directionality of the hypothesis.

Regarding your second question regarding the level of significance for a 1-tailed test, typically a level of significance (α) of 0.05 is used for a 2-tailed test. For a 1-tailed test, you can use a slightly smaller α value, such as 0.01, if you have a good reason to expect the effect to be in a specific direction. However, the specific value to choose for α depends on the context of your research question and the conventions used by your field or institution. It would be best to consult your instructor or refer to any specific instructions or guidelines provided for your analysis.

When you fail to reject the null hypothesis (H0), you can calculate effect size measures like Cohen's d and omega squared to determine the magnitude of the difference between groups. Cohen's d quantifies the difference between groups in terms of their standard deviation, while omega squared measures the proportion of variance accounted for by the treatment/experimental group. These measures provide additional information about the practical significance of the findings even when the statistical significance is not detected.

Remember, it is always beneficial to consult your instructor or refer to specific guidelines for your analysis to ensure that you are following the appropriate procedures and conventions in your field of study.