The excel form of the following data can be found in following table "Firefighters"

The US government stated that it pays fire fighters at least $100,000 annually. Fire Fighters Labor Union believes that the amount the US government says it pays firefighters in salary is less than the stated amount of at least $100,000 and takes a sample of some of its employees in California (see excel data for the information). Use a hypothesis test to see if there is there enough evidence to support the Fire fighters labor union claim at alpha = 0.05?

-State Ho and Ha

-What kind of test is it?

-What is the test statistic

-What is the p-value?

-Interpret the results in the context of the problem (refer to the table below)

#table "Firefighters"

2 Employee Identiflob Salaries Total Compensation 4053 Firefighter 77396.3 133592.49 4 39839 Firefighter 117156.2 185958.11 26574 Firefighter 119258.6 189229.8 35177 Firefighter 118184.8 187802.36 5580 Firefighter 47016 65481.63 42143 Firefighter 114949.7 177530.84 20724 Firefighter 119258.7 186970.1 18961 Firefighter 107397.5 189528.48 1 14624 Firefighter 119258.6 180591.24 12 14942 Firefighter 82924.41 144450.39 13 25402 Firefighter 69330.7 107689.58 14 41240 Firefighter 111361.4 194832.48 15 23234 Firefighter 119280.1 212597.94 16 36619 Firefighter 70026.57 110697.99 2804 Firefighter 84419.58 154247.3 18 16789 Firefighter 81140.89 148647.84 19 32882 Firefighter 118184.8 248991.92 20 15689 Firefighter 7200 10322.97 21 50173 Firefighter 76579.08 125149.55 22 19410 Firefighter 7200 10296.55 23 40211 Firefighter 118184.8 285810.79 24 13419 Firefighter 113763.2 226451.75 25 12106 Firefighter 131679.1 183309.22 26 26514 Firefighter 107448.4 169818.23 27 42022 Firefighter 133269.2 200024.41 28 2050 Firefighter 47016 74768.59 29 18686 Firefighter 116598.2 165975.87 30 9143 Firefighter 119258.6 192822.87 31 611 Firefighter 113726.1 224645.5 82 51954 Firefighter 119258.6 264029.62 33 40295 Firefighter 81299.34 158004.45 34 31475 Firefighter 119258.6 217534.66 35 4551 Firefighter 60135.04 156507.74 36 5903 Firefighter 119258.6 210723.11 87 48745 Firefighter 70040.36 111713.39 38 32854 Firefighter 119258.6 194684.51 39 21364 Firefighter 77310.41 132180.54 10 30422 Firefighter 77310.42 132044.92 41 8988 Firefighter 118184.8 244423.16 12 1706 Firefighter 119258.6 261158.151756 Firefighter 83582.07 129582.07 24742 Firefighter 83363.25 142048.34 33211 Firefighter 113726.1 198709.86 18031 Firefighter 90791.95 144224.18 54880 Firefighter 113824 212346.12 35242 Firefighter 77274.92 136059.41 30841 Firefighter 119258.7 240355.55 43324 Firefighter 118184.8 222776.53