Question

Twenty years ago, 49% 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 247 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 twenty years ago? Use the alpha equals 0.1 level of significance.

Because np0 left ( 1 minus p 0 right ) = ____, ____ 10, the sample size is __ less than or greater than __ 5% of the population size, and the sample

___can be reasonably assumed to be random, or is given to be random, cannot be reasonably assumed to be random, is given to not be random,___

the requirements for testing the hypothesis ___are or are not ___ satisfied.

(Round to one decimal place as needed.)

What are the null and alternative hypotheses?

Upper H 0:

Upper H 1:

(Type integers or decimals. Do not round.)

Find the test statistic.

z0 equals

(Round to two decimal places as needed.)

Find the P-value

P-value equals

Round to three decimal places as needed.)

Determine the conclusion for this hypothesis test. Choose the correct answer below.

A.

Since P-valueless than alpha, do not reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today.

B.

Since P-valuegreater than alpha, do not reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today.

C.

Since P-valueless than alpha, reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today.

D.

Since P-valuegreater than alpha, reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today.

Answer #1

The statistical software output for this problem is:

np(1 - p) = 800*0.49*0.51 = 199.9

Therefore,

Correct responses in first part blanks will be:

**199.9; >; Less than; Can be reasonable assumed to be
random; are**

Hypotheses:

H_{0} : p = 0.49

H_{1} : p ≠ 0.49

zo = -10.26

p - Value = 0.00

Conclusion: **Option C** is correct.

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