In: Statistics and Probability
Here is an example of T-test down blow (it doesn't have to be exactly) I need to help with my data which it is about phone service survey. Please help and I really appreciate your time.
T-Tests
Multiple T-tests were performed resulting in a statistically significant relationship between consumers’ demographics and attitudes about healthcare clinic visits. For example, Table 1 shows the relationship between males and females and their preference to healthcare clinic size (females = 2.56, males = 3.52, p = .009). On average, females prefer a smaller more privatized clinic, while males prefer larger more well-known practice. This data suggests that females prefer a more family like setting at their clinic, where they feel like their care is more personalized. Males might be more concerned with time and want to get in and out as soon as possible, without the need for a highly personalized setting. Larger clinics are able to cater to this need of timely visits because they are set up to handle a higher capacity of patients. Smaller clinics have a smaller patient base, thus being able to connect with their patients on a deeper level.
Table 1. Males and Females vs. Clinic Size
Group Statistics
Gender |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
ClinicSize |
Male Female |
21 |
3.5238 |
.92839 |
.20259 |
18 |
2.5556 |
1.24722 |
.29397 |
Independent Samples Test
Levene's Test for Equality of Variances |
t-test for Equality of Means |
||||||||
F |
Sig. |
t |
df |
Sig. (2tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
||
Lower |
Upper |
||||||||
ClinicSize Equal variances assumed Equal variances not assumed |
1.265 |
.268 |
2.774 |
37 |
.009 |
.96825 |
.34901 |
.26109 |
1.67542 |
2.712 |
31.032 |
.011 |
.96825 |
.35702 |
.24014 |
1.69637 |
Here is my data down blow and I need you to help me with interpret or explain just like the exmpale.
Group Statistics |
|||||
Gender |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
Number of services |
Male |
17 |
2.35 |
1.169 |
.284 |
Female |
18 |
1.67 |
.907 |
.214 |
F |
Sig. |
T |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95 % confidence interval of the difference |
|||
Lower |
Upper |
|||||||||
Number of services |
Equal variances assumed |
.882 |
.354 |
1.946 |
33 |
.060 |
.686 |
.353 |
-.031 |
1.404 |
Equal variances not assumed |
1.932 |
30.185 |
.063 |
.686 |
.355 |
-.039 |
1.412 |
Two sample t test is used to compare the means assuming equal variance. The test is performed in following steps,
Step 1: The Null and Alternative Hypotheses
Step 2: Select the appropriate test statistic and level of significance.
The t statistic is used to compare the two population means and the significance level is for the test (Generally 5% significance level used to compare two means)
Step 3: State the decision rules.
The decision rules state the conditions that if,
,
Step 4: Compute the appropriate test statistic and make the decision.
From the result summary, the t statistic is,
The P-value for the t statistic is,
Decision:
The corresponding P-value is 0.06 which is greater than 0.05 at the 5% significance level for the two sided alternative hypothesis. Hence, it can be concluded that the null hypothesis is not rejected.
Step 5: State the Conclusion
There no statistically significant difference between males and females about their preference to phone service