A well-known brokerage firm executive claimed that 20% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found...

A well-known brokerage firm executive claimed that 20% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 11% of them said they are confident of meeting their goals.


Test the claim that the proportion of people who are confident is smaller than 20% at the 0.05 significance level.

The test statistic is:________  (to 3 decimals)


The p-value is: _________ (to 4 decimals)