Question

4 pts Question 21 A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financial problem. A second sample of 100 different students was asked the same question regarding a dating problem. If 43 students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help, test the hypothesis of no difference in the proportions. Use a = 0.02. Identify the critical value(s). O +2.33 +2.05 2.05 2.33

did i get this correct?

Answer 1

from above table, z= 2.3 + 0.3 = 2.33.

z 0.00 0.0 0.0000 0.1 0.0398 0.2 0.0793 0.3 0.1179 0.4 0.1554 0.5 0.1915 0.6 0.2257 0.7 0.2580 0.8 0.2881 0.9 0.3159 1.00.3413 1.1 0.3643 1.2 0.3849 1.3 0.4032 0.4192 1.5 0.4332 1.6 0.4452 1.7 0.4554 1.8 0.4641 1.9 0.4713 2.0 0.4772 2.1 0.4821 2.2 0.4861 2.3 4802 2.4 0.4918 2.5 0.4938 0.01 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4649 0.4719 0.4778 0.4826 0.4864 1120 0.02 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.2324 0.2642 0.2939 0.3212 0.3461 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4726 0.4783 0.4830 0.4868 0 490R 0.03 0.010 0.05 7 0.09 0 0.12 3 0.16 4 0.20 9 0.23 7 0.263 0.29 7 0.32 8 0.34 5 0.37 8 0.39 7 0.40 2 0.42 6 0.43 10 0.444 0.45 2 0.464 0.47 2 0.478 0.484 0.48 1 0.4901 0.4925 0.4943 0.04 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.4838 0.4875 0.4904 0.4927 0.4945 0.05 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.2422 0.2734 0.3023 0.3289 0.3531 0.3749 0.3944 0.4115 0.4265 0.4394 0.4505 0.4599 0.4678 0.4744 0.4798 0.4842 0.4878 0.4906 0.4929 0.4946 1.4 0.4920 0.4940 0.4922 0.4941

So identical crical value is 2.33.

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Ans i given significance level i.e 2=0.02 i ear. 100%. - 24. - 987 warrie 98% = 0.98 57 confidance level critical value (2 score) 0.90 1.70 1.75 vie 1.81 0.91 0.92 Oi95 0.96 0.97 0198 0.99 1.96 2017 2.33 2.575 above values are from 2 table, so identical critical value is 2.33

OR Test is two tailed so, deviding by 2 to 98%. ie 0,49. Find nearly value of 049 in z table. GO