Introduction
Group Two designed a survey to learn about healthcare worker job satisfaction. The population that we sampled is healthcare workers in any healthcare setting. This is a convenience sample with a voluntary response, as some healthcare workers refused to take the survey or declined an answer.
We asked the following questions:
1. How many years have you worked in Healthcare?
2. How much trust and confidence do you have in your manager or senior leadership?
3. Would you recommend others to work at Hospital/facility?
4. How would you rate your overall job satisfaction from 010? (0 being the worst to 10 being the highest)
Looking at a Categorical Variable
The response to the question " How much trust and confidence do you have in your manager or senior leadership?" are shown in the pie chart below.
It can been seen that 51.2% % of the people we surveyed had Medium to High trust of leadership, 31.2% Low to Medium trust leadership,17.6% healthcare workers trust completely and 0% not at all.
In order to see if trust and confidence determines if healthcare workers would recommend others to work at their facility, we can examine the bar plot below.
Result 2: Bar plot for trust and confidence in leadership
Among healthcare workers, the most frequent choice is Medium to High/Yes (0.5). Followed by Low to Medium/No (between 0.1 and 0.2), in the same area follows in descending order Complete/Yes, Low to Medium/Yes. The least frequent choices are Complete/Yes and Medium to High/No (between 0 and 0.1). Just above that choice is Complete/No
Those healthcare workers who have Medium to High trust in leadership had the highest frequency to recommend someone to work in this sample. It is interesting that the healthcare worker who completely trust leadership was after Medium to High.
Looking at a Numerical Variable
The response to the question "How many years have you worked in Healthcare?" are shown in the histogram, boxplot, and summary statistics below.
Result 3: Histogram for amount of years worked in healthcare
Result 4: Boxplot of the overall rate of job satisfaction
Result 5: Summary stats of years worked versus job satisfaction
Column  Std. dev.  Variance  Mean  n  Median  Range  Min  Max  Q1  Q3 

Years  8.2729641  68.441935  11.04  125  8  40  1  41  5  15 
The histogram shows a rightskewed distribution with most of the data less than 20 years. The modal class of the histogram is 0 to 30 years worked in healthcare.
The center of a skewed data set is best described by the median, which is not affected by the extreme values. Here the median is 8 years worked, while the mean is about 11 years. The midrange (1+40)/2, is about 25 years, which is not a reasonable measure of center for this data, as we can see in the histogram. Note that the mean is greater than the median, which is typical of a rightskewed distribution.
There is a lot of variability in the responses to this question, with a range of 40 years, and a standard deviation of 8.273 years(rounded to third decimal). The IQR, which gives the range of the middle half of the data, is 10 years. For this data, the range rule of thumb is accurate, since the range/4 = 10 and the standard deviation is 8.273. The data set is within standard deviation of 2.
The boxplot reveals several outliers, which I determined by sorting the data: 32,34,36 and 41. While these values represent years worked, they are plausible for healthcare workers and I do not consider them to be erroneous. Retirement age has increased and many people are waiting until past their seventies to retire.
Looking for a Relationship Between Two Numerical Variables
To determine whether or not there is a relationship between the responses to the questions " How many years have you worked in Healthcare?" and " "How would you rate your overall job satisfaction from (010)?" we look at the scatterplot of the paired data.
Result 6: Scatter plot of years worked versus job satisfaction rate
The scatter plot reveals a positive trend with a great deal of scatter. Positive correlation as the years increased, the rating of job satisfaction increased. 4 outliers stand out in the scatter plot : 8/32,9/34,9/36,8/41; rate/years. People are working longer and even though outliers can dramatically affect the correlation coefficient, it is plausible to include these in the analysis.
The correlation coefficient for the paired data is 0.122 , as shown below.
Result 7: Correlation of years/rate of healthcare job.
0.12194678
Since the absolute value of r 0.122 is less than 0.176 ( correlation_critical_values in mymathLab), we conclude that there is not statistically linear correlation, between the number of years and the rate of job satisfaction for this sample. r 0.122 lies between the critical values of .05 and and .176. To be significant the absolute value of r would need to be less than .05 or greater than .176.Since the scatterplot is largely subjective, this coefficient gives an objective measure.
Summary statistics:

Correlation between Years and Rate is: 0.12194678 
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