Monthly Social Security Benefits The average monthly Social Security benefit in 200# for retired workers was $954.90 and for disabled workers was $:294.10. Researchers used data from the Social Security records to beit the claim that the difference in monthly benefits between the retired and disabled workon was greater than $30. Based on the following information, one the researcher" claim he supported at the Q.01 laval of significance) Use a TI:83 ForW/TI-84 Plans calculation Retired Disabled Sample sire Mean benefit $958 36 585043 Population standard deviation 598 Like pie for the average monthly Social Security bene's for retired workers. Part 1 of 4 V [a) State the hypotheses and identify the claim with the correct hypothesis. claim This hypothesis test is a one-tailed Part: 1 / 4 Part 2 of 4 () Find the P-value. Round the answer to at least four decimal places