Question: please answer all parts to this question The population proportion is 0.75. What is the probability that a sample proportion will be within +0.01 of

please answer all parts to this question The
please answer all parts to this question The
please answer all parts to this question The
please answer all parts to this question
The population proportion is 0.75. What is the probability that a sample proportion will be within +0.01 of the population proportion for each of the following sample sizes? Round your answers to 4 decimal places. Use z-table. a. n = 100 b.n=200 c. n = 500 d. n = 1,000 e. What is the advantage of a larger sample size? With a larger sample, there is a - Select your answer probability will be within 20.01 of the population proportion p. .00 .02 .01 .03 2 .04 .05 .06 .07 .09 .08 .0 .1 .2 .3 4. 5000 .5398 .5793 .6179 .6554 5040 .5438 5832 .6217 .6591 .5080 .5478 5871 .6255 .6628 5120 .5517 .5910 .6293 .6664 5160 .5557 .5948 .6331 .6700 .5199 -5596 .5987 .6368 .6736 5239 .5636 .6026 .6406 .6772 .5279 .5675 .6064 .6443 .6808 .5319 .5714 .6103 .6480 .6844 .5359 5753 .6141 .6517 .6879 .5 .6 .7 .8 9 .6915 .7257 .7580 .7881 .8159 .6950 .7291 .7611 .7910 .8186 .6985 .7324 .7642 .7939 .8212 .7019 .7357 .7673 .7967 .8238 .7054 .7389 .7704 .7995 .8264 .7088 .7422 .7734 .8023 .8289 .7123 .7454 .7764 .8051 .8315 .7157 .7486 .7794 .8078 .8340 .7190 .7517 .7823 8106 .8365 .7224 .7549 .7852 .8133 .8389 1.0 1.1 1.2 .8413 .8643 .8849 .9032 .9192 .8438 .8665 .8869 9049 9207 .8461 8686 .8888 .9066 9222 .8485 .8708 .8907 9082 .9236 .8508 .8729 .8925 .9099 .9251 .8531 .8749 .8944 9115 9265 .8577 .8790 .8980 .9147 .9292 .8599 .8810 .8997 9162 .9306 .8621 .8830 .9015 .9177 9319 1.3 1.4 1.5 1.6 1.7 1.8 1.9 9332 .9452 9554 9641 .9713 9345 .9463 9564 .9649 .9719 .9357 .9474 .9573 .9656 .9726 .9370 .9484 .9582 19664 .9732 .9382 .9495 .9591 .9671 .9738 9394 .9505 .9599 .9678 9744 .8554 .8770 .8962 .9131 9279 .9406 .9515 .9608 .9686 9750 9803 9846 9881 -9909 9931 9418 .9525 .9616 .9693 .9756 9441 9545 19633 9706 9767 .9429 9535 .9625 .9699 9761 .9812 9854 .9887 9913 .9934 2.0 2.1 2.2 2.3 2.4 9772 .9821 .9861 .9893 .9918 .9778 .9826 .9864 9896 .9920 .9783 .9830 .9868 .9898 .9922 .9788 .9834 .9871 .9901 .9925 .9793 9838 .9875 9904 .9927 .9798 9842 .9878 .9906 9929 .9808 9850 .9884 9911 .9932 9817 .9857 .9890 .9916 .9936 .9945 .9959 2.5 2.6 2.7 2.8 2.9 .9938 .9953 .9965 .9974 9981 .9940 .9955 .9966 .9975 .9982 .9941 .9956 .9967 9976 .9982 9943 .9957 .9968 .9977 9983 9969 9977 9984 9946 9960 .9970 .9978 .9984 9948 9961 9971 9979 9985 .9949 .9962 9972 9979 .9985 .9951 9963 9973 .9980 .9986 .9952 9964 .9974 9981 .9986 3.0 .9987 9987 9987 .9988 9988 .9989 .9989 9989 9990 9990 A population has a mean of 400 and a standard deviation of 50. Suppose a sample of size 100 is selected and is used to estimate f. Use z-table. a. What is the probability that the sample mean will be within +/- 3 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

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