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Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p = 0.3 versus H, : p > 0.3 n = 100; x = 35; a = 0.01 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo. 20 = 1 (Round to two decimal places as needed.) Identify the P-value. P-value = 1 (Round to three decimal places as needed.) X X Standard Normal Distribution table for negative z Standard Normal Distribution table for positive z Choose the correct result of the hypothesis test for the P-value approach below. O A. Reject the null hypothesis, because the P-value is less than a. O B. Reject the null hypothesis, because the P-value is greater than a. Standard Normal Distribution Standard Normal Distribution .01 02 03 .04 .05 06 .07 .08 .01 .02 03 .04 .05 06 07 O C. Do not reject the null hypothesis, because the P-value is greater than a. O D. Do not reject the null hypothesis, because the P-value is less than a. -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0004 0.0004 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 -3.3 .0005 0.0004 0.0004 0.0004 0.0004 0.0003 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 1.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 ).6879 -2.9 0.0019 0.0018 0.0018 8 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.0107 0 0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8770 0.8790 0.8810 0.8830 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0183 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.045 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 -1.5 0.0668 0.0655 0.0650 0.0618 0.0606 0.0559 1.9 0.9726 0.9732 0.9738 0.9744 0.9756 0.9761 0.9767 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 ).9817 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 ).9952 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 -0.7 .2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 28 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.312 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 .9990 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 0.9990 0.9991 0.4907 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 -0.2 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.999 0.9996 0.9996 0.9996 0.9997 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 .00 01 .02 .04 .05 06 .07 .08 .09 .01 02 03 .04 .05 .06 .07 .08 .09 Print Done Print Done2 A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if golf balls conform to the standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table. Do the golf balls conform to the standards? Use the a = 0.01 level of significance. Click the icon to view the data table. C..... First determine the appropriate hypotheses. Ho: P = 1 H1 : 0 = 1 (Type integers or decimals. Do not round.) Find the test statistic. 1 (Round to two decimal places as needed.) Find the P-value. 1 (Round to three decimal places as needed.) What can be concluded from the hypothesis test? X Data Table O A. Do not reject Ho. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.01 level of significance. O B. Reject Ho. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.01 level of significance. Golf Ball Diameter (inc O C. Do not reject Ho. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.01 level of significance. 1.683 1.676 1.681 O D. Reject Ho. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.01 level of significance. 1.684 1.679 1.686 1.684 1.685 1.673 1.685 1.682 1.674 Print Done Time Remaining: 01:57:30 NextScores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation oi 14. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 58 and 142? (b) What percentage of people has an IQ score less than 58 or greater than 142'? (c) What percentage of people has an IQ score greater than 114? 3 (a) (b) (C) 1 % (Type an integer or a decimal.) 1 % (Type an integer or a decimal.) 1 % (Type an integer ora decimal.) Time Remaining: 01:57:04 m 4 Demnnine whether the scatter diagram indicates that a linear relation may exist between the two variables. If the relation is linear, determine whether it indicates a positive or negative association between the variables. Use this information to A q answer the following. m 400 l l I I l l . o b 6 6 d ' 5 300 Q 3 200 I g 100 D 2' u 2 4 6 5 10 L' Explanatory Do the two variables have a linear relationship? (9 A. The data points have a linear relationship because they do not lie mainly in a straight line, 0 B. The data points do not have a linear relationship because they lie mainly in a straight line. 0 C. The data points have a linear relationship because they lie mainly in a straight line. 0 D. The data points do not have a linear relationship because they do not lie mainly in a straight line. If the relationship is linear do the variables have a positive or negative association? A. The variables have a positive association. 0 B. The variables have a negative association. 0 c. The relationship is not linear. Time Remaining: 01:56:36 m