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PROBLEM SET 4 test for a Population Correlation Coefficient portant Term t-test for a population correlation coefficient A random sample of 27 California taxpayers reveals an r of +.83 between years of education and annual income. Use i to test the null hypothesis at the .05 level of significance that there is not a significant relationship between educational level and annual income for the population of California taxpayers. 1. Alternative hypothesis (H). 2. Null hypothesis (Ho). 3. Is this a directional or nondirectional test? Draw a curve and indicate the rejec- tion region (s). 4. Statistical hypotheses. 5. Decision rule. 6. Calculations (use t-test for a population correlation coefficient). 7. Decision 8. Statistical verification. 9. Discuss the possibility of making a Type I Alpha Error versus a Type II Beta Error. 10. Interpretation of results.
Problem Set 2 OBITICAL VALUES OP Two-tailed or Nondirectional Test LEVEL OF SIGNIFICANCE One-talled or Directional Test LEVEL OF SIGNIFICANCE P<.001 p> .05 P<.05 p <.01 01 001 12706 53.657 636.62 4303 9.925 2778 Os 3.182 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 3.733 5.841 4.604 4032 3.707 3.499 3355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.881 2.845 2.831 2.819 2.807 2797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 2.131 2.120 2.110 2.101 2 093 2.086 2.080 2.074 2 089 2.064 2.060 2056 2052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 31598 12924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4437 4318 4221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.767 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.373 3.291 p>.05 P<.05 p<.01 P<.001 .01 .001 31.821 318.31 2.920 6.965 22.326 2353 4541 10.213 2132 3.747 7.173 2015 3.365 5.893 1.943 3.143 5208 1.895 2.998 4 785 11880 2.896 4.501 1833 2821 4.297 1.812 2.764 4.144 1.796 2.718 4.025 1.70 2581 3.930 1.771 2650 3.852 1.761 2624 3.787 1.753 2.602 1.746 2.583 3.686 1.740 2.567 3.646 1.734 2.552 3.610 1.729 2.539 3.579 1.725 2.528 3.552 1.721 2.518 3.527 1.717 2.508 3.505 1.714 2.500 3.485 1.711 2.492 3.467 1.708 2.485 3.450 1.706 2.479 3.435 1.703 2.473 3.421 1.701 2.467 3.408 1.699 2.462 3.396 1697 2.457 3.385 1.684 2.423 3.307 1.671 2390 3.232 1.658 2.358 3.160 1.645 2.326 3.090 385 8398 82389 *95% level of confidence **99% level of confidence
PROBLEM SET 4 test for a Population Correlation Coefficient portant Term t-test for a population correlation coefficient A random sample of 27 California taxpayers reveals an r of +.83 between years of education and annual income. Use i to test the null hypothesis at the .05 level of significance that there is not a significant relationship between educational level and annual income for the population of California taxpayers. 1. Alternative hypothesis (H). 2. Null hypothesis (Ho). 3. Is this a directional or nondirectional test? Draw a curve and indicate the rejec- tion region (s). 4. Statistical hypotheses. 5. Decision rule. 6. Calculations (use t-test for a population correlation coefficient). 7. Decision 8. Statistical verification. 9. Discuss the possibility of making a Type I Alpha Error versus a Type II Beta Error. 10. Interpretation of results.
Problem Set 2 OBITICAL VALUES OP Two-tailed or Nondirectional Test LEVEL OF SIGNIFICANCE One-talled or Directional Test LEVEL OF SIGNIFICANCE P<.001 p> .05 P<.05 p <.01 01 001 12706 53.657 636.62 4303 9.925 2778 Os 3.182 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 3.733 5.841 4.604 4032 3.707 3.499 3355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.881 2.845 2.831 2.819 2.807 2797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 2.131 2.120 2.110 2.101 2 093 2.086 2.080 2.074 2 089 2.064 2.060 2056 2052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 31598 12924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4437 4318 4221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.767 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.373 3.291 p>.05 P<.05 p<.01 P<.001 .01 .001 31.821 318.31 2.920 6.965 22.326 2353 4541 10.213 2132 3.747 7.173 2015 3.365 5.893 1.943 3.143 5208 1.895 2.998 4 785 11880 2.896 4.501 1833 2821 4.297 1.812 2.764 4.144 1.796 2.718 4.025 1.70 2581 3.930 1.771 2650 3.852 1.761 2624 3.787 1.753 2.602 1.746 2.583 3.686 1.740 2.567 3.646 1.734 2.552 3.610 1.729 2.539 3.579 1.725 2.528 3.552 1.721 2.518 3.527 1.717 2.508 3.505 1.714 2.500 3.485 1.711 2.492 3.467 1.708 2.485 3.450 1.706 2.479 3.435 1.703 2.473 3.421 1.701 2.467 3.408 1.699 2.462 3.396 1697 2.457 3.385 1.684 2.423 3.307 1.671 2390 3.232 1.658 2.358 3.160 1.645 2.326 3.090 385 8398 82389 *95% level of confidence **99% level of confidence
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27 May 2023
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