A well known brokerage firm executive claimed that 30 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 500 people 23 of them said they are confident of meeting their goals Test the claim that the proportion of people who are confident is smaller than 30 at the 0 10 significance level The null and alternative hypothesis would be Ho p 0 3 Ho p 0 3 Ho p 0 3 Ho 0 3 Ho p 0 3 Ho 0 3 H p 0 3 H p 0 3 H 0 3 H 0 3 H p 0 3 H 0 3 O O O O O The test is right tailed left tailed two tailed The test statistic is The p value is Based on this we O Reject the null hypothesis O Fail to reject the null hypothesis to 3 decimals to 4 decimals