Analysis of Cholesterol Levels in PH and NT Patients

Nov 15, 2024, 3:28 PM

hypertension.xlsx

Missing file

2. A medical research team wishes to investigate that patients with primary hypertension

(PH), on the average, have higher total cholesterol levels than normotensive (NT)
patients? The total cholesterol measurements (mg/dl) for 133 PH patients and 41 NT
patients are presented in
“hypertension”. Can we conclude that PH
patients have, on
average, higher total cholesterol levels than NT patients? Let α=05
To determine if patients with primary hypertension (PH) have, on average, higher total cholesterol levels than normotensive (NT) patients, we can perform a hypothesis test. Specifically, we can use a two-sample t-test to compare the means of the two groups.

Hypothesis

  • Null Hypothesis (H₀): The mean total cholesterol level of PH patients is equal to that of NT patients.
  • Alternative Hypothesis (H₁): The mean total cholesterol level of PH patients is greater than that of NT patients.

Significance Level

  • We will use a significance level of ( \alpha = 0.05 ).

Steps

  1. Load the data from the provided Excel file.
  2. Separate the cholesterol levels for PH and NT patients.
  3. Perform a two-sample t-test.
  4. Interpret the results.
Let's start by loading the data from the Excel file.
The data from the Excel file has been loaded. It seems like the dataset contains a column Length which might represent the cholesterol levels, and a Group column which likely indicates whether the patient is PH or NT.
Let's proceed by separating the cholesterol levels for PH and NT patients based on the Group column. We'll assume Group = 1 represents PH patients and Group = 0 represents NT patients.
It appears that the dataset does not contain any entries for NT patients (Group = 0). This means we cannot perform a comparison between PH and NT patients using the provided data.
Could you please verify if the dataset is complete or if there is any additional data available for NT patients? Alternatively, if there is any clarification on how the groups are defined, that would be helpful.

X1-675

The cholesterol levels have been adjusted by subtracting 675 from each value in the Length column. Now, let's proceed to separate the adjusted cholesterol levels for PH and NT patients and perform the hypothesis test.
Let's assume Group = 1 represents PH patients and Group = 0 represents NT patients. We'll perform a two-sample t-test to compare the means of the two groups.
It seems that the t-test resulted in NaN values for both the test statistic and the p-value. This typically occurs when one or both of the groups have no data points.
In this case, it appears that there are no entries for NT patients (Group = 0) in the dataset, which means we cannot perform a valid comparison between PH and NT patients.
Could you please verify if the dataset is complete or if there is any additional data available for NT patients? Alternatively, if there is any clarification on how the groups are defined, that would be helpful.
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