Q5C 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): Table 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 for Females $31,862 $40,550 $36,048 $30,752 $41,817 $40,236 $47,476 $40,500 $60,332 $33,823 $35,438 $37,242 $31,238 $39,150 $34,023 $33,745 $33,269 $32,684 $31,844 $34,599 $48,748 $46,185 $36,931 $40,416 $29,548 $33,865 $31,067 $33,424 $35,484 $41,021 $47,155 $32,316 $42,113 $33,459 $32,462 $35,746 $31,274 $36,027 $37,089 $22,117 $41,412 $31,330 $31,329 $33,184 $35,301 $32,843 $38,177 $40,969 $40,993 $29,688 $35,890 $34,381         Is there enough evidence to show that the mean income of males is more than of females?  Test at the 1% level.  (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    (viii)  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 α value, 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.

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Q5C

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):

Table 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 for Females

$31,862

$40,550

$36,048

$30,752

$41,817

$40,236

$47,476

$40,500

$60,332

$33,823

$35,438

$37,242

$31,238

$39,150

$34,023

$33,745

$33,269

$32,684

$31,844

$34,599

$48,748

$46,185

$36,931

$40,416

$29,548

$33,865

$31,067

$33,424

$35,484

$41,021

$47,155

$32,316

$42,113

$33,459

$32,462

$35,746

$31,274

$36,027

$37,089

$22,117

$41,412

$31,330

$31,329

$33,184

$35,301

$32,843

$38,177

$40,969

$40,993

$29,688

$35,890

$34,381

 

 

 

 

Is there enough evidence to show that the mean income of males is more than of females?  Test at the 1% level.

 (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

 

 (viii)  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 α value, 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.

 

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