Use technology to find the p-value for a right-tailed test about a mean with n=28 and test statistic t=1.422
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To find the p-value for a right-tailed test about a mean, you can use statistical software like R, Python, or Excel. Here, I will provide the steps using Python and the `scipy` library:
Step 1: Install and import the necessary libraries:
```python
!pip install scipy
from scipy.stats import t
```
Step 2: Define the sample size (n) and the test statistic (t):
```python
n = 28
t_stat = 1.422
```
Step 3: Calculate the degrees of freedom (df) by subtracting 1 from the sample size:
```python
df = n - 1
```
Step 4: Calculate the p-value using the cumulative distribution function (CDF) of the t-distribution:
```python
p_value = 1 - t.cdf(t_stat, df=df)
```
The resulting `p_value` is the probability of observing a test statistic as extreme as or more extreme than the one you have, assuming the null hypothesis is true.