Question

Twenty years​ ago, 54​% 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 275 of 750 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 0.01 level of significance.

Answer 1

Answer:

Parents do feel differently today

Step-by-step explanation:

Given that a recent survey found that 275 of 750 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science

20 years ago let us take the proportion as population proportion and now we want to compare our proportion with population proportion

$H_0: p=0.54\\H_a: p \neq 0.54$

(Two tailed test at 1% significant level)

Sample proportion p = $\frac{275}{750} =0.3667$

p difference $= 0.54-0.3667 =0.1333$

Test statistic = 9.523

p value <0.00001

Since p is less than alpha we reject null hypothesis

Parents do feel differently today