Twenty years ago, 53% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 310 of 850 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the alpha equals α=0.05 level of significance.
Solution :
This is the two tailed test .
The null and alternative hypothesis is
H0 : p = 0.53
Ha : p
0.53
= x / n = 310 /850 = 0.3647
P0 = 0.53
1 - P0 = 1 -0.53 = 0.47
Test statistic = z
=
- P0 / [
P0
* (1 - P0 ) / n]
=0.3647 - 0.53 / [0.53*(0.47)
/850 ]
= -9.656
P(z < -9.656) = 0
P-value = 0
= 0.05
0 < 0.05
Reject the null hypothesis .
There is sufficient evidence to suggest that
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I'm only confused on why the P-Value is 0. I usually use my TI84
calculator and it gave me 7.354
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