this is stat 2023

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic (indicate if t or z), critical value(s) (indicate type), P-value, conclusion about the null hypothesis (with reason), and state the final conclusion that addresses the original claim. A company reports that 80% of its employees participate in the company's stock purchase plan. A random sample of 50 employees was asked the question, "Do you participate in the stock purchase plan?" The answers are shown below. yes no no yes no no yes yes no no yes no Yes no VES ves yes yes yes yes no no ves Ves Ves yes no yes no yes yes no yes yes Yes yes Yes yes Perform the appropriate test of hypothesis to investigate your suspicion that fewer than 80% of the company's employees participate in the plan. Use a = .05. Give all numerical answers exactly or correct to 3 decimal places (as appropriate). Note: Fill in blanks for Null and Alternative Hypothesis as follows: Symbol for variable (p or Mu), then connector (=, =/=, , =) followed by numerical value. Ho: HI: Note: Fill in blanks for Critical Value(s) as follows: Symbol for variable (t_alpha, z_alpha, (_alpha/2 or z_alpha/2), then the sign (+, -, or +/-), then numerical value (to 3 decimal places) Critical Value(s): Test Statistic (indicate t or z) followed by numerical value (to 3 decimal places): P-Value (to 3 decimal places): Conclusion about Null Hypothesis: Reason for Conclusion about Null Hypothesis: Final Conclusion (Fill in the appropriate words or phrases to complete sentence): There is evidence to the claim that fewer than 80% of employees participate in the plan