Yes correct At least one of the answers above is NOT correct (2 points) A random
ID: 3362832 • Letter: Y
Question
Yes correct At least one of the answers above is NOT correct (2 points) A random number generator is supposed to produce random numbers that are uniformly distributed on the interval from 0 to 1 . If this is true, the numbers generted come from a population with -: O5 and -02887. A command to generate 169 random numbers gives outcomes with mean x 0.4364. Assume that the population remains fixed. We want to test Ho: = 0.5 Ha: * 0.5 (a) Calculate the value of the z test statistic. (b) Use Table C: isz significant at the 40% level ( = 04)? Answer with "Yes/Y-or-No/N*) (c) Use Table C: is z significant at the 0.1% level (-0.001)? (Answer with .Yesy-or-NaN9 (d) Between which two Normal critical values z" in the bottom row of Table C does the absolute value of z lie? Between two numbers does the P-value lie? (e) Does the test give good evidence against the null hypothesis? (Answer with Yes/Y" or NoN') (a) -2.8639 (b) yes (c) no (d) z: between -2.807 and 1.96 P-value: between 0.0042 and 0.0021 (e) yes Note: You can earn partial credit on this probiem.Explanation / Answer
(a)
z-statistics, z = (0.4364-0.5)/(0.2887/sqrt(169)) = -2.86387
b) Yes
c) no
d) As significance level is not given, use 0.05
z:between -1.96 and 1.96
For 0.001
z: between -3.2905 and 3.2905
p-value: between 0.00209 and 0.00418
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