Question:(1 point) 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 generated come from a population with = 0.5 and= 0.2887. A command to generate 81 random numbers gives outcomes with meanx= 0.4365. Assume that the populationremains fixed. We want to test

H0:=0.5

Ha:0.5

(a) Calculate the value of theztest statistic.

(b) Use Table C: iszsignificant at the 50% level (= 0.5)? (Answer with "Yes/Y" or "No/N".)

(c) Use Table C: iszsignificant at the 0.1% level (= 0.001)? (Answer with "Yes/Y" or "No/N".)

(d) Between which two Normal critical valueszin the bottom row of Table C does the absolute value ofzlie? Between what two numbers does theP -value lie?

(e) Does the test give good evidence against the null hypothesis? (Answer with "Yes/Y" or "No/N".)

a.)__________

b.)__________

c.)__________

d.) z: between _________ and __________

P-value: Between _________ and __________

e.) ___________