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:

H₀ : p = 0.49
H₁ : p ≠ 0.49

zo = -10.26

p - Value = 0.00

Conclusion: Option C is correct.