Question

In: Statistics and Probability

Twenty years​ ago, 56​% of parents of children in high school felt it was a serious...

Twenty years​ ago, 56​% 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 295 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 α=0.01 level of significance.

Find the​ P-value.

​P-value=__________

​(Round to three decimal places as​ needed.)

Solutions

Expert Solution

p: Proportion of parents of children in high school who felt it was a serious problem that high school students were not being taught enough math and science

Hypothesized population proportion: po = 56/100 = 0.56

Null Hypothesis Ho:  parents feel same today as they did twenty years​ ago: p = po ; p = 0.56

Alternate Hypothesis : parents feel differently today than they did twenty years​ ago ; p po ; p   0.56

Two sided hypothesis;

Number of parents of children participated in the survey ; Sample size : n= 750

Number of parents of children of the survey felt it was a serious problem that high school students were not being taught enough math and science : x = 295

Sample proportion parents of children of the survey felt it was a serious problem that high school students were not being taught enough math and science: = x/n = 295/750=0.3933

For two tailed test :

p-value = 0.000

As P-Value i.e. is less than Level of significance i.e (P-value:0 < :0.01:Level of significance); Reject Null Hypothesis
There is sufficient to conclude that the proportion of parents of children in high school who felt it was a serious problem that high school students were not being taught enough math and science is different from 0.56

i.e

Sufficient evidence to conclude that the parents feel differently today than they did twenty years​ ago

Ans :

p-value = 0.000

orchestra answered 1 year ago
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