A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. For this to happen, it will have to move one of its most viewed shows to another slot. The network conducts a survey asking its viewers which show they would rather watch. The network will keep its current lineup of shows unless the majority of the customers want to watch the new show. The network receives 827 responses, of which 428 indicate that they would like to see the new show in the lineup. UseTable 1.
a.Set up the hypotheses to test if the television network should give its newest television show a spot during prime viewing time at night.
A)H0:p? 0.50;HA:p
B)H0:p= 0.50;HA:p? 0.50
C)H0:p? 0.50;HA:p> 0.50
b.Compute the value of the test statistic.(Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
c.Calculate the critical value at?= 0.01.(Round your answer to 2 decimal places.)
d.What should the television network do?
A)RejectH0, the television network should not keep its current lineup.
B)
TABLE 1 Standard Normal Curve Areas Entrles In 11115 lahle pmldecumulalhre probabllmes. that 1: 019 area under \"recurvetothelaofz.he.mple,P(ZSl.52)= 0.0643. P425 72) *1 0 t 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.06 0.09 3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 *36 0.0001 0.0001 0.0001 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.000] 3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.0001 *36 0.0002 0.0002 0.000] 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.000] 3.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 *33 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 3.] 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 3.0 0.0013 0.1.1013 0.0013 0.0012 0.01112 0.0011 11.0011 0.0011 0.0010 0.0010 *29 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 2.3 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 *27 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 *25 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.00- 0.0066 0.0064 7 2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0067 0.0084 2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 *2] 0.0179 0.0174 0.0170 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 0.0138 0.0183 *1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 1.3 0.0359 0.0351 0.8344 0.0336 0.0329 0.0322 0.031 4 0.0307 0.0301 0.0294 1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.1140] 0.0392 0.0384 0.0375 0.0367 *1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 *1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 1.4 0.11808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 1.3 0.0968 0.0%] 0.0934 0.0918 0.0901 0.0885 0.0369 0.0853 0.0838 0.0823 1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 1.] 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 *1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.171] 0.1685 0.1660 0.1635 0.1611 *06 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 D.6 0.2743 0.27119 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.5 0.3005 0.3050 0.3015 0.2981 0.2946 0.2912 0.2377 0.2843 0.2810 0.2776 *0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.312] *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 0.401 3 0.3974 0.3936 0.3897 0.3859 0. 1 0.4602 0.4562 0.4522 0.44 83 0.4443 0.4404 0.4364 0.4325 0.4236 0.4247 0.0 0.5000 0.49611 0.4920 0.4880 0.4840 0.4801 11.4761 0.4721 0.4631 0.4641 91111 Fmamlmuakulm mm Eats] TABLE .1. {Cominued} Enta lrr mlshble purlde curmlallve prtbahllla. that Is, the area under me cu'vetnme le ofz. 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