Question 1 (1 point} The income of males in each state of the United States. including the District of Columbia and Puerto Rico, are given in Table 1, and the income of females is given in Table 2 ("Median income of," 2013}: Tabie 1: Data of Income for Males $42,951 $52,379 $42,544 $37,488 $49,281 $50,987 $60,705 $50,411 $66,760 $40,951 $43,902 $45,494 $41,528 $50,746 $45,183 $43,624 $43,993 $41,612 $46,313 $43,944 $56,708 $60,264 $50,053 $50,580 $40,202 $43,146 $41,635 $42,182 $41,803 $53,033 $60,568 $41,037 $50,388 $41,950 $44,660 $46,176 $41,420 $45,976 $47,956 $22,529 $48,842 $41,464 $40,285 $41,309 $43,160 $47,573 $44,057 $52,805 $53,046 $42,125 $46,214 $51,630 Table 2: Data of Income f0! Females $31.8 62 $40,550 $3 6,048 $30,752 $41,8 17 $40,236 $47.47 $40,500 $60,332 $33,823 $35,433 $37,242 $31.2 38 $39,150 $34,023 $33,745 $33.2 69 $32,684 $31.84 $34,599 $48,748 $46,185 $36,931 $40,416 $29,548 $33,865 $31.06 $33,424 $35,484 $41,021 $47,155 $32,316 $42,113 $33,459 $32,462 $35,746 $31.2 74 $36,027 $37,089 $22,117 $41,412 $31,330$31,329 $33,184 $35,301 $32,843 $38.17 $40,969 $40,993 $29,688 $35,89 $34,381 Is there enough evidence to show that the mean income of males is more than of females? Test at the 1% level. (i) Let # = mean income of a male in 2013. Let #2= mean income of a female in 2013. Which of the following statements correctly defines the null hypothesis Ho? A. H1 - H2 =0 (H1 = H2) B. H1 - H2 0 (H1 > H2) D. H1 + H2 = 0 Enter letter corresponding to correct answer (ii) Let uy = mean income of a male in 2013. Let #2 = mean income of a female in 2013. Which of the following statements correctly defines the alternative hypothesis HA? A. H1 - H2 =0 (H1 = H2) B. H1 - H2 0 (H1 > H2) D. H1 + H2= 0 Enter letter corresponding to correct answer (iii) Enter the level of significance cused for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10(iv) For sample from population with mean = / : Determine sample mean x, and sample standard deviation s, Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers: 13.27,2.31 0.27.0.06 -10.30,0.79 (v) For sample from population with mean = My : Determine sample mean x2 and sample standard deviation s, Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers: 13.27,2.31 0.27.0.06 -10.30,0.79 (vi) Determine degrees of freedom df : Enter value in decimal form rounded down to nearest whole number. Examples of correctly entered answers: 1 23 72 A/(vii) Determine test statistic: Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers: 2.014 3.070 16.000 110.019 (vili) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic. Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers: 0.0001 0.0021 0.0305 0.6004 0.8143 1.0000 (ix) Comparing p-value and orvalue, which is the correct decision to make for this hypothesis test? A. Reject Ho B. Fail to reject Ho C. Accept Ho D. Accept HA Enter letter corresponding to correct answer.ix} Select the statement that most correctly interprets the resuit of this test: A. The result is not statistically signicant at .01 level 0! signicance. Sufficient evidence exists to sup port the claim that the mean income of males is more than of females. . B. The result is not statistically significant at .01 level of significance. There is not enough evidence to support the claim that the mean income of males is more than of females. C. The result is statistically signicant at .01 level of signicance. Sufficient evidence exists to support the claim that the mean income of maies is more than of temales. D. The result is statistically signicant at .01 level of signicance. There is not enough evidence to support the claim that the mean income of males is more than of females. Enter fetter corresponding to most correct ans war [3
