Question

Help with AP Stats? Will award medals and fan!!!

You're conducting a significance test for H0 : p = .35, Ha : p < .35. In a sample of size 40, you identify a count of 11 successes. The computed z-score and P-value are:

A. –1.06 and .1446
B. –1 and .3174
C. –1 and .1587
D. 1 and .3174
E. 1 and .8413

Answer 1

Under the null hypothesis, the z-score would be
\[z=\frac{.275-.35}{\sqrt{\dfrac{.35(1-.35)}{40}}}\approx-.99\]
which gives a p-value of .1587