Homework Help is Here – Start Your Trial Now!
Math
Statistics
(a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. A. Approximately normal because ns0.05N and np(1 - p)< 10 B. Approximately normal because ns0.05N and np(1 -p) 2 10 C. Not normal because ns 0.05N and np(1 - p) 2 10 D. Not normal because ns0.05N and np(1-p) < 10 Determine the mean of the sampling distribution of p. HA = 0.32 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)

(a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. A. Approximately normal because ns0.05N and np(1 - p)< 10 B. Approximately normal because ns0.05N and np(1 -p) 2 10 C. Not normal because ns 0.05N and np(1 - p) 2 10 D. Not normal because ns0.05N and np(1-p) < 10 Determine the mean of the sampling distribution of p. HA = 0.32 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Question
According to a survey in a country, 32% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. A. Approximately normal because n<0.05N and np(1 - p) < 10 B. Approximately normal because n<0.05N and np(1 - p) > 10 C. Not normal because n <0.05N and np(1 – p) 2 10 D. Not normal because ns0.05N and np(1 - p) < 10 Determine the mean of the sampling distribution of p. HA = 0.32 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)
Transcribed Image Text:According to a survey in a country, 32% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. A. Approximately normal because n<0.05N and np(1 - p) < 10 B. Approximately normal because n<0.05N and np(1 - p) > 10 C. Not normal because n <0.05N and np(1 – p) 2 10 D. Not normal because ns0.05N and np(1 - p) < 10 Determine the mean of the sampling distribution of p. HA = 0.32 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)
Page 1 Page 2 Area Area- Standard Normal Distribution Standard Normal Distribution 0,04 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0,01 0,02 0.03 0.05 0.06 0,07 0.08 0.09 0,0003 0.0005 0.0006 -34 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0003 0.0002 0.0003 0.0005 0.5080 0.5478 0.5871 0.6255 0.6628 0.0 0.5000 0.5398 0.5793 0.5040 0.5120 0,5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0,5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 -3.3 -3.2 0.0004 0.5438 0.5832 0.6217 0.6591 0.1 0.2 0.0006 0.0009 0.0012 0.0008 0.0011 -3.1 0.0010 0.0013 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0010 0.6179 0.6554 -3.0 0.0013 0.0013 0.0012 0.0011 0.0011 0.0010 0.3 0.4 0.6808 0.0018 0.0024 0.0033 0.0044 0.0059 0.0016 0.0022 0.0030 0.0014 0.0019 0.0026 0.0036 0.0048 -29 -2.8 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0017 0.0023 0.0032 0.0043 0.0057 0.0015 0.0016 0.0023 0.0031 0.0014 0.0020 0.0027 0.0037 0.0049 0.0015 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0,7704 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.7190 0.7517 0,7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.5 0.6 0.0021 0.0021 0.0028 -2.7 0.0029 0,7 -2.6 -25 0.0047 0.0062 0.0045 0.0060 0,0041 0.0055 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.7910 0.7995 0.8264 0.8023 0.8289 0.8 0.8133 0.9 0.8186 0.8340 0.8389 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 0.0069 0.0091 -24 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0071 0.0094 0.0122 0.0158 0.0202 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0146 0.0188 0.0064 0.0084 0.0110 0.0143 0.0183 0.8461 0.8686 1.0 1.1 1.2 1.3 1.4 0.8413 0.8643 0.8849 0.9032 0,9192 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 08554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0,9306 0,8438 0.8665 0.0119 0.0154 0.0197 0.8888 0.9066 0.9222 0,8485 0.8708 0.8907 0.9082 0.9236 0,8621 0.8830 0.90 15 0.9177 0.9319 0.8869 0.9049 0.9207 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0,0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 -1.9 1.5 1.6 0.9332 0.9452 0.9554 0.9418 0.9525 0.9616 0,0345 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0,9429 0.9535 0.9625 0.9699 0.9761 0,9441 -1.8 -1.7 0.9463 0.9564 0.9649 0.9719 0.9545 0.9633 0.9706 0.9767 1.7 0.0505 0.0618 -1.6 0.9641 0.9713 0.9693 0.9756 1.8 0.9686 -1.5 1.9 0.9750 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 -14 -13 -1.2 -1.1 -1.0 0.0778 0.0934 0.1112 0.0721 0.0869 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0.9936 2.0 2.1 2.2 0.1038 0.1335 0.1562 0.1230 0.1446 0.1314 0.1271 0.1492 0.1210 0.1423 0.1190 0.1401 0.1170 0.9906 0.9929 2.3 0.1539 0.1379 0.9893 0.9918 2.4 0.1841 0.2119 0,2420 0.2743 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0,2358 0.2676 0.3015 0.1762 0.2033 0.2327 0,2643 0,2981 0.1736 0.2005 0.2296 0.1711 0.1977 0,2266 0.2578 0.2912 0.1685 0.1949 0,2236 02546 0.2877 0.1660 0.1922 0.2206 02514 0.1635 0.1894 0,2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9975 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9959 0.9969 0.9977 0.9949 0.9962 0.9972 0.9979 0.9985 0.9952 0.9964 0.9974 -0.9 0.9946 0.9960 0.9970 0.9978 0.9948 0.9961 0.9971 0.9979 0.9951 0.9963 0.9973 0,9980 0,9986 2.5 0.9941 0.9956 0.9967 0,9976 0.9982 -08 -0.7 2.6 2.7 0.2611 0.2451 0,9981 0.9986 -0.6 2.8 -0,5 0.3085 0.2946 0,2843 0,2776 2.9 0.9984 0.9984 0.9985 0.3446 0.3821 0.4207 0.4602 0.5000 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 0.3707 0.4090 0.4483 0.4880 0.9989 0.9992 0.9995 0.9996 0.9997 0.3300 0.3669 -04 -03 -0.2 0.3409 0.3783 0.4168 0.4562 0.4960 0.3228 0.3504 0.3974 0.4364 0.4761 0.3121 0,3483 0.3859 0,4247 0.4641 0.9987 0.9991 0.9994 0.9989 0,9992 0.9994 0.9996 0.9997 0.9989 0,9992 0.9994 0,9996 0.9997 0.3156 0.9987 0,9991 0.9993 0,9995 0.9997 0.9988 0.9990 0.9993 0.9995 0,9997 0.9998 0.3264 0.3632 0.3192 0.3557 0.3936 0.4325 0.4721 3.0 0.9987 0.9988 0,9990 0.9990 0.9993 0.9995 0.9997 0.9991 0.9994 0.9996 0,9997 0.9902 0.9994 0.9006 0.9997 0.9993 0.9995 0.3520 0.3897 0.4286 0.4681 3.1 0.4052 0.4443 0.4840 0.4013 0.4404 0.4801 3.2 3.3 3.4 0,9995 0.9997 -0.1 0,9996 -0.0 0.9997 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0,08 0,09 0.00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Transcribed Image Text:Page 1 Page 2 Area Area- Standard Normal Distribution Standard Normal Distribution 0,04 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0,01 0,02 0.03 0.05 0.06 0,07 0.08 0.09 0,0003 0.0005 0.0006 -34 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0003 0.0002 0.0003 0.0005 0.5080 0.5478 0.5871 0.6255 0.6628 0.0 0.5000 0.5398 0.5793 0.5040 0.5120 0,5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0,5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 -3.3 -3.2 0.0004 0.5438 0.5832 0.6217 0.6591 0.1 0.2 0.0006 0.0009 0.0012 0.0008 0.0011 -3.1 0.0010 0.0013 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0010 0.6179 0.6554 -3.0 0.0013 0.0013 0.0012 0.0011 0.0011 0.0010 0.3 0.4 0.6808 0.0018 0.0024 0.0033 0.0044 0.0059 0.0016 0.0022 0.0030 0.0014 0.0019 0.0026 0.0036 0.0048 -29 -2.8 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0017 0.0023 0.0032 0.0043 0.0057 0.0015 0.0016 0.0023 0.0031 0.0014 0.0020 0.0027 0.0037 0.0049 0.0015 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0,7704 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.7190 0.7517 0,7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.5 0.6 0.0021 0.0021 0.0028 -2.7 0.0029 0,7 -2.6 -25 0.0047 0.0062 0.0045 0.0060 0,0041 0.0055 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.7910 0.7995 0.8264 0.8023 0.8289 0.8 0.8133 0.9 0.8186 0.8340 0.8389 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 0.0069 0.0091 -24 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0071 0.0094 0.0122 0.0158 0.0202 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0146 0.0188 0.0064 0.0084 0.0110 0.0143 0.0183 0.8461 0.8686 1.0 1.1 1.2 1.3 1.4 0.8413 0.8643 0.8849 0.9032 0,9192 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 08554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0,9306 0,8438 0.8665 0.0119 0.0154 0.0197 0.8888 0.9066 0.9222 0,8485 0.8708 0.8907 0.9082 0.9236 0,8621 0.8830 0.90 15 0.9177 0.9319 0.8869 0.9049 0.9207 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0,0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 -1.9 1.5 1.6 0.9332 0.9452 0.9554 0.9418 0.9525 0.9616 0,0345 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0,9429 0.9535 0.9625 0.9699 0.9761 0,9441 -1.8 -1.7 0.9463 0.9564 0.9649 0.9719 0.9545 0.9633 0.9706 0.9767 1.7 0.0505 0.0618 -1.6 0.9641 0.9713 0.9693 0.9756 1.8 0.9686 -1.5 1.9 0.9750 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 -14 -13 -1.2 -1.1 -1.0 0.0778 0.0934 0.1112 0.0721 0.0869 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0.9936 2.0 2.1 2.2 0.1038 0.1335 0.1562 0.1230 0.1446 0.1314 0.1271 0.1492 0.1210 0.1423 0.1190 0.1401 0.1170 0.9906 0.9929 2.3 0.1539 0.1379 0.9893 0.9918 2.4 0.1841 0.2119 0,2420 0.2743 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0,2358 0.2676 0.3015 0.1762 0.2033 0.2327 0,2643 0,2981 0.1736 0.2005 0.2296 0.1711 0.1977 0,2266 0.2578 0.2912 0.1685 0.1949 0,2236 02546 0.2877 0.1660 0.1922 0.2206 02514 0.1635 0.1894 0,2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9975 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9959 0.9969 0.9977 0.9949 0.9962 0.9972 0.9979 0.9985 0.9952 0.9964 0.9974 -0.9 0.9946 0.9960 0.9970 0.9978 0.9948 0.9961 0.9971 0.9979 0.9951 0.9963 0.9973 0,9980 0,9986 2.5 0.9941 0.9956 0.9967 0,9976 0.9982 -08 -0.7 2.6 2.7 0.2611 0.2451 0,9981 0.9986 -0.6 2.8 -0,5 0.3085 0.2946 0,2843 0,2776 2.9 0.9984 0.9984 0.9985 0.3446 0.3821 0.4207 0.4602 0.5000 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 0.3707 0.4090 0.4483 0.4880 0.9989 0.9992 0.9995 0.9996 0.9997 0.3300 0.3669 -04 -03 -0.2 0.3409 0.3783 0.4168 0.4562 0.4960 0.3228 0.3504 0.3974 0.4364 0.4761 0.3121 0,3483 0.3859 0,4247 0.4641 0.9987 0.9991 0.9994 0.9989 0,9992 0.9994 0.9996 0.9997 0.9989 0,9992 0.9994 0,9996 0.9997 0.3156 0.9987 0,9991 0.9993 0,9995 0.9997 0.9988 0.9990 0.9993 0.9995 0,9997 0.9998 0.3264 0.3632 0.3192 0.3557 0.3936 0.4325 0.4721 3.0 0.9987 0.9988 0,9990 0.9990 0.9993 0.9995 0.9997 0.9991 0.9994 0.9996 0,9997 0.9902 0.9994 0.9006 0.9997 0.9993 0.9995 0.3520 0.3897 0.4286 0.4681 3.1 0.4052 0.4443 0.4840 0.4013 0.4404 0.4801 3.2 3.3 3.4 0,9995 0.9997 -0.1 0,9996 -0.0 0.9997 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0,08 0,09 0.00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS