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Taught Enough Math? In 1994, 52% of parents of children in

Chapter , Problem 21AYU

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QUESTION:

Problem 21AYU

Problem

Taught Enough Math? In 1994, 52% 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 256 of 800 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 in 1994? Use the α = 0.05 level of significance.?

Source: Based on “Reality Check: Are Parents and Students Ready for More Math and Science?” Public Agenda, 2006.

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QUESTION:

Problem 21AYU

Problem

Taught Enough Math? In 1994, 52% 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 256 of 800 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 in 1994? Use the α = 0.05 level of significance.?

Source: Based on “Reality Check: Are Parents and Students Ready for More Math and Science?” Public Agenda, 2006.

ANSWER:

Answer :

Step 1 of 2:

Given, 52% 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 256 of 800 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Level of significance .

= 52% = 0.52 and 1 - = 0.48

: p =  0.52

: p  0.52

n = 800, x = 256 and = 0.05

  199.68 > 10

Let test statistic be

             Z =

Where, p = x/n = 256/800 = 0.32 ,  = 0.52 and 1 - =0.48

then ,    Z =

           Z =

              =  = -11.3250

The critical value for two tailed test when =0.05 is -1.96

Hence,  reject the null hypothesis

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