In order to perform the hypothesis test, we need the dataset of 10 observations, which you've mentioned but did not provide. Could you please share the 10 observations so that I can assist you with the calculation?

However, I can guide you through the general steps to conduct the hypothesis test:

1. Formulate Hypotheses:

• Null Hypothesis (H₀): The population mean is equal to 22. (µ = 22)
• Alternative Hypothesis (H₁): The population mean is not equal to 22. (µ ≠ 22)

2. Set the Significance Level:

• The significance level (α) is given as 3% (0.03).

3. Perform the t-Test:

• Since the population standard deviation is unknown and the sample size is small (n = 10), we will use a t-test for a single sample.
• Using your calculator or software, enter the data points into L1, then perform a t-test:
  • Test Type: Two-Sample t-Test (since the alternative hypothesis is not equal to 22).
  • Input: Data (select the data from L1).
  • You will then receive a t-statistic, degrees of freedom (df), and a p-value.

4. Decision Rule:

• If the p-value ≤ 0.03, reject the null hypothesis (H₀).
• If the p-value > 0.03, do not reject the null hypothesis.

Once you provide the data, I can walk through the calculations and provide the correct answer for the p-value and the decision on whether to reject or fail to reject the null hypothesis.

Feel free to upload the dataset or provide the data points directly!