Question

Twenty years ago. 47% 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 wurvey found that 27 of 750 parents of children in high school felt it was a serious problem that high school students werLot being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the e=0.01 level of significance Click here to view the standard mal distribution table.col. Click here le vice standard normal distribution late/e2 Because no (1-0)-010the sample ske is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied (Round to one decimal place as needed) What are the null and alterative hypotheses? 7 Н. versus H, Type integers or decimals Do not round Dein the test statistic 2 Round to two decimal places as needed) Determine the critical values Select the correct choice below and in the answer box to complete your choice Round to the decimal places needed o

Answer 1

Result:

Because npo(1-po)=186.8 > 10. The sample size is less than 5% of the population size.

The requirement for testing the hypothesis is satisfied.

Ho: P=0.47, H₁: P≠0.47

Test statistic = -9.91

Critical value : A. : z=± 2.576

B. Reject the null hypothesis. There is sufficient evidence to calculate the number of parents who find that students are not being taught enough math and science is significantly different from 20 years ago.

P- P P*(1-P)/n

= 0.2893 -0.47 0.47 *(1-0.47)/750

z= -9.9134

Z Test of Hypothesis for the Proportion
Data
Null Hypothesis            p =	0.47
Level of Significance	0.01
Number of Items of Interest	217
Sample Size	750
Intermediate Calculations
Sample Proportion	0.2893
Standard Error	0.0182
Z Test Statistic	-9.9134
Two-Tail Test
Lower Critical Value	-2.576
Upper Critical Value	2.576
p-Value	0.0000
Reject the null hypothesis