Description
With this database, you will:
- Identify and list categorical and continuous variables.
- Calculate frequencies and percentages for all of the categorical variables, and means, and standard deviations for the continuous variables.
- Run a one-sample z test of proportions for one categorical variable. Here is an example in terms of wording: "Is the proportion of English speaking patients greater than 50%?" Using .05 level of significant test the appropriate hypotheses.
- Write the null and alternate hypotheses
- What is the proportion of English speaking patients
- What is the standard error and z statistics
- Find critical z and p value. Is the p value significant? Conclusion?
- Run an independent samples t-test to compare two groups of people (specified by a dichotomous variable) on one continuous variable. Using .05 level of significant test the appropriate hypotheses. In order to run this test statistics you have to re-arrange your data.
- Write the null and alternate hypotheses.
- What is the calculated mean for each group?
- What is the confidence interval for each group?
- What is the critical t value?
- Is the p value significant? Conclusion?
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Explanation & Answer
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1. Identify and list categorical and continuous variables.
Variable Name
Age
Language
HAQ4c
NumRegMed
HAQ15a
SmokHt
Description
Age in years
Preferred language
Fractured hip, leg, arm,
or spine
Number of medications
used regularly
Ability to take care of
own personal needs
Past Smoke history
Variable type
continuous
Categorical
Categorical
Continuous
Categorical
Categorical
2. Calculate frequencies and percentages for all of the categorical variables, and means, and
standard deviations for the continuous variables.
NumRegMed
mean
standard deviation
3.27
3.554176
Age
mean
standard deviation
74.73
6.364675
Language
Frequency
English
Spanish
percentage
frequency
29
43.94%
37
56.06%
HAQ4c
Frequency
percentage
frequency
No
Yes
55
11
83.33%
16.67%
HAQ15a
can do
can do with some
difficulty
can not do without help
percentage
Frequency
frequency
38
57.58%
15
13
22.73%
19.70%
SmokHt
Non smoker
Smoker
percentage
Frequency
frequency
42
63.64%
24
36.36%
3. Run a one-sample z test of proportions for one categorical variable. Here is an example in
terms of wording: "Is the proportion of English speaking patients greater than 50%?"
Using .05 level of significant test the appropriate hypotheses.
1. Write the null and alternate hypotheses
Ho: The proportion of English speaking patients is equal to 50%
Ho: p= 50%
Ha: The proportion of English speaking patients is greater than 50%?"
Ha: p>50%
2. What is the proportion of English speaking patients
p= 29/66 = 0.4394
3. What is the standard error and z statistics
𝑝∗(1−𝑝)
)
𝑛
Standard error = √
=√
0.4394∗0.5606
66
= 0.0611
z statistic = (p-hat –p)/ standard error = (0.4394-0.5)/0.0611 = -0.99
4. Find critical z and p value. Is the p value significant? Conclusion?
Z critical = 1.645
p value = p(z>-0.99) = 0.8389
The p value is not significant as it is greater than the significance value (0.05). We
thus fail to reject the null and conclude that there is insufficient evidence t...