Conduct a hypothesis test to determine if the proportion of all recent clients is more dissatisfied than the traditional level of dissatisfaction. Use α = 0.08

The data for proportion of dissatisfied clients includes: 21%, 27% and 26.5%. the Average is 24.83. Using excel, I found the standard deviation, .0333.

The total number of clients used in the survey was 200. Traditionally, 40% of customers have been dissatisfied.

Step 1: specify null and alternative

Ho: p is less than or equal to .40

Ha: p is greater than or equal to .40

Step 2: calculate test statistics:

Z= (.2483-.4)/ (.0333/(square root of 200) = -63. 21.

This answer seems high but if it is correct im not sure how to interpret it.

Any help is greatly appreciated.