Question

Twenty years ago, 53% 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 241 of 700 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 a=0.1 level of significance. less than 5% of the population size, and the sample can be reasonably assumed to be random the requirements for testing the hypothesis are satisfied. Because npo (1-po) = 174.4 > 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: P = .53 versus Hy: p * .53 (Type integers or decimals. Do not round.) Find the test statistic. Zo = -9.84 (Round to two decimal places as needed.) Find the P-value. P-value = 0 (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. A. Since P-value <a, reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today. O B. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today. O C. Since P-value <a, do not reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today. O D. Since P-value > a, reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today.

I'm only confused on why the P-Value is 0. I usually use my TI84 calculator and it gave me 7.354

Answer 1

here z0=-9.84

p-value=P(|z|>9.84)

here we have take mod so that -ve z0 become +ve

hence

P(|z|>9.84)= 2*P(Z>9.84)

=2*(1-P(Z<9.84))

#P(Z<9.84)=1-------------------------- .by using normal probability table.

=2*(1-1)

=2*0

=0

hence p-value=0

hence any question please comment and give feedback