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A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 40 million viewers, and they want more than 40% of the viewers to want to see the movie again. They show the movie to a test audience of 150 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 78 people said they would see the movie again. (You may find it useful to reference the z table.)   Calculate the value of the test statistic. (Round final answer to 2 decimal places.) test statistic=

A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 40 million viewers, and they want more than 40% of the viewers to want to see the movie again. They show the movie to a test audience of 150 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 78 people said they would see the movie again. (You may find it useful to reference the z table.)   Calculate the value of the test statistic. (Round final answer to 2 decimal places.) test statistic=

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 40 million viewers, and they want more than 40% of the viewers to want to see the movie again. They show the movie to a test audience of 150 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 78 people said they would see the movie again. (You may find it useful to reference the z table.)

 

Calculate the value of the test statistic. (Round final answer to 2 decimal places.)

test statistic=

TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of -z. For example, P(Z<-1.52) = 0.0643. P(Z<-z) -z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.6 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0003 -3.5 0.0002 0.0002 0.0002 0.0002 0.0003 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 0.0004 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0005 0.0008 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0019 0.0026 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0055 0.0073 0.0096 -2.5 0.0062 0.0060 0.0059 0.0057 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0094 0.0091 0.0089 0.0087 0.0084 0.0132 0.0170 -2.2 0.0139 0.0136 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0475 0.0582 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0968 0.1151 -1.3 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1271 0.1492 -1.1 0.1357 0.1335 0.1314 0.1292 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1469 0.1446 0.1423 0.1401 0.1379 0.1736 0.2005 0.1660 0.1922 0.2206 -0.9 0.1841 0.1814 0.1788 0.1762 0.1711 0.1685 0.1635 0.1611 0.2090 0.2033 0.2327 -0.8 0.2119 0.2061 0.1977 0.1949 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2296 0.2266 0.2236 0.2177 0.2148 0.2643 0.2611 0.2946 0.2546 0.2483 0.2810 -0.6 0.2743 0.2709 0.2676 0.2578 0.2514 0.2451 -0.5 0.3085 0.3050 0.3015 0.2981 0.2912 0.2877 0.2843 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5239 0.5636 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0,6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.7291 0.6985 0.7054 0.7224 0.7549 0.5 0.7019 0.7088 0.7123 0.7157 0.7190 0.6 0.7257 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7939 0.7995 0.8264 0.8051 0.8315 0.8 0.7910 0.7967 0.8023 0.8078 0.8106 0.8133 0.8186 0.8438 0.8340 0.8577 0.9 0.8159 0.8212 0.8238 0.8289 0.8365 0.8389 1.0 0.8413 0.8461 0.8485 0.8508 0.8531 0.8554 0.8599 0.8621 0.8729 0.8925 0.8770 0.8962 0.8810 0.8997 1.1 0.8643 0.8665 0.8686 0.8708 0.8749 0.8790 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8944 0.8980 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9406 0.9515 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9418 0.9429 0.9441 1.6 0.9452 0,9463 0,9474 0.9484 0.9495 0.9505 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0,9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9744 0.9798 0.9719 0.9726 0.9750 0.9756 0.9808 1.9 0.9713 0.9732 0.9738 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9803 0,9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0,9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9918 0.9938 0.9925 0.9927 0.9945 2.4 0.9920 0.9922 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9940 0.9941 0.9943 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0,9964 2.7 0.9965 0.9966 0,9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9981 2.8 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9982 0.9982 0,9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0,9989 0.9989 0.9990 0.9990 0.9990 0.9993 3.1 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0,9992 0.9993 0.9993 3.2 0.9993 0.9994 0,9994 0.9994 0.9994 0,9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9998 0.9999 3.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 3.6 0.9998 0.9998 0,9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 3.8 0.9999 0.9999 0.9999 0.9999 0,9999 0.9999 0.9999 0.9999 0.9999 3.9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
Transcribed Image Text:TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of -z. For example, P(Z<-1.52) = 0.0643. P(Z<-z) -z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.6 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0003 -3.5 0.0002 0.0002 0.0002 0.0002 0.0003 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 0.0004 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0005 0.0008 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0019 0.0026 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0055 0.0073 0.0096 -2.5 0.0062 0.0060 0.0059 0.0057 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0094 0.0091 0.0089 0.0087 0.0084 0.0132 0.0170 -2.2 0.0139 0.0136 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0475 0.0582 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0968 0.1151 -1.3 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1271 0.1492 -1.1 0.1357 0.1335 0.1314 0.1292 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1469 0.1446 0.1423 0.1401 0.1379 0.1736 0.2005 0.1660 0.1922 0.2206 -0.9 0.1841 0.1814 0.1788 0.1762 0.1711 0.1685 0.1635 0.1611 0.2090 0.2033 0.2327 -0.8 0.2119 0.2061 0.1977 0.1949 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2296 0.2266 0.2236 0.2177 0.2148 0.2643 0.2611 0.2946 0.2546 0.2483 0.2810 -0.6 0.2743 0.2709 0.2676 0.2578 0.2514 0.2451 -0.5 0.3085 0.3050 0.3015 0.2981 0.2912 0.2877 0.2843 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5239 0.5636 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0,6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.7291 0.6985 0.7054 0.7224 0.7549 0.5 0.7019 0.7088 0.7123 0.7157 0.7190 0.6 0.7257 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7939 0.7995 0.8264 0.8051 0.8315 0.8 0.7910 0.7967 0.8023 0.8078 0.8106 0.8133 0.8186 0.8438 0.8340 0.8577 0.9 0.8159 0.8212 0.8238 0.8289 0.8365 0.8389 1.0 0.8413 0.8461 0.8485 0.8508 0.8531 0.8554 0.8599 0.8621 0.8729 0.8925 0.8770 0.8962 0.8810 0.8997 1.1 0.8643 0.8665 0.8686 0.8708 0.8749 0.8790 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8944 0.8980 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9406 0.9515 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9418 0.9429 0.9441 1.6 0.9452 0,9463 0,9474 0.9484 0.9495 0.9505 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0,9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9744 0.9798 0.9719 0.9726 0.9750 0.9756 0.9808 1.9 0.9713 0.9732 0.9738 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9803 0,9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0,9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9918 0.9938 0.9925 0.9927 0.9945 2.4 0.9920 0.9922 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9940 0.9941 0.9943 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0,9964 2.7 0.9965 0.9966 0,9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9981 2.8 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9982 0.9982 0,9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0,9989 0.9989 0.9990 0.9990 0.9990 0.9993 3.1 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0,9992 0.9993 0.9993 3.2 0.9993 0.9994 0,9994 0.9994 0.9994 0,9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9998 0.9999 3.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 3.6 0.9998 0.9998 0,9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 3.8 0.9999 0.9999 0.9999 0.9999 0,9999 0.9999 0.9999 0.9999 0.9999 3.9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
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