Is greater than, or less than Is given to be random, or assumed to be random The

Question

Is greater than, or less than Is given to be random, or assumed to be random The requirements are, or are not H: p, u, or o. Equal to, less than, greater than, or equal to Z0=
Reject or do not, sufficient or nit
Twenty years ago 55% 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 252 of 750 parents of children in high school fett it was a senous problem that high school students were not being tught enough math and sce nce. Do parents feel differently today than they did twenty years ago? Use the :001 level of Significance. Cick here to view the standard normal distribution table (page 1) Because n o =L10 1 1 Po the sample size is 5% of the population size, and the sample the requirements for testing the hyrpothessatd Round to one decimal place as needed.) What are the null and alternative hypotheses? Type integers or decimals. Do not round.) Determine the test statistic, Zo Zo-(Round to two decimal places as needed) Determine the critical value(s). Select the correct choice below and fil in the answer box to complete your choice. Round to two decimal places as needed.) Choose the correct conclusion below Reject the null hypothesis. There is insufficient evidence to conclude that the number of parents who feel that students are not being taught enough math and science is significantly different from 20 years ago. Do not reject the null hypothesis. There is sufficient evidence to conclude that the number of parents who feel that students are not being taught enough math and science is significantly different from 20 years ago. Reject the null hypothesis. There is suficient evidence to conclude that the number of parents who feel that students are not being taught enough math and science is significantly different from 20 years ago Do not reject the null hypothesis. There is insufficient evidence to conclude that the number of parents who feel that students are not being taught enough math and science is significantly different from 20 years ago 0 A B. ° C. O D.

Explanation / Answer

Given that,
possibile chances (x)=252
sample size(n)=750
success rate ( p )= x/n = 0.336
success probability,( po )=0.55
failure probability,( qo) = 0.45
null, Ho:p=0.55  
alternate, H1: p!=0.55
level of significance, = 0.01
from standard normal table, two tailed z /2 =2.58
since our test is two-tailed
reject Ho, if zo < -2.58 OR if zo > 2.58
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.336-0.55/(sqrt(0.2475)/750)
zo =-11.7803
| zo | =11.7803
critical value
the value of |z | at los 0.01% is 2.58
we got |zo| =11.78 & | z | =2.58
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -11.78031 ) = 0
hence value of p0.01 > 0,here we reject Ho
ANSWERS
---------------
null, Ho:p=0.55
alternate, H1: p!=0.55
test statistic: -11.7803 = -11.78
critical value: -2.58 , 2.58
decision: reject Ho
p-value: 0
we have enough evidence to support the claim that the number of parents who feel that students are not being taught enough maths and science significantly
differ from 20 years ago

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