he Supporting Materials section provides a modified data set with 1,091 observations from the Health Information National Trends Survey (HINTS).

Prompt

The distribution of ages in the United States follows a normal probability distribution, with a mean value of 46 years and a standard deviation of 13 years. For this activity, you will determine if the sample mean age in the data set significantly differs from the nation's population.

Upload the Data Analysis Data Set from the Supporting Materials section to StatCrunch and address the following critical elements:

• Explain whether performing a one-sample t-test or z-test would be appropriate to determine whether the sample mean age is significantly different from the nation's population.
• State the null and alternative hypotheses.
• Calculate the test statistic and determine the p value.
• Based on the p value and a chosen significance level (0.05, for example):
  • Interpret your p value regarding the hypothesis.
  • Interpret the results to determine whether the sample mean differs significantly from the nation's population. Support your conclusion with your statistical results.