7.) np0 (1-p0) = 42 > 10
a) classical approach: z0 = 2.31 > z0.05 = 1.645
reject the null
b) p-value approach: P-value=0.0104 < a + 0.05
reject the null11.) np0(1-p0) = 45 >10
a) classical: z0 = -1.49 is between -z0.025 = -1.96 and z0.025 = 1.96
do not reject
b) p-value: P-value=-.1362 > a=.05
do not reject
np0(1-p0) = 16.1 > 10 and n<0.05 Hypothesis H0: p = 0.019, H1: p>0.019 z0=0.65<z0.01=2.33 do not reject
H0: u=2.58, H1: u<2.25 (2.4085, 3.0515) we are 90% confident that the sample mean is between 2.4085 and 3.0515 fail to reject
1.)
a) t0.01=2.602
b) -t0.05=-1.729
c) +-t0.025=+-2.17912.) a) H0: µ=63.7 inches
b) H1: µ>63.7 inches
c)We must accept the null hypothesis
13.)
a) Ho:u=22
H1:u>22
b) the sample is random, sample siz is large
n=200>30
c) t0=2.176>t0.05=1.66
reject null hypothesis
d) students who complete the core curriculum are scoring above 22 on the math section of the ACT14.)
a) Ho:u=501
H1:u<501
b) Condition 1: Simple random sampling was used.
Condition 2: Assume the sample has no outliers andx is normally distributed because n 100 Condition 3: The sampled values are independent of each other. One test taker’s score does not effect another test taker’s score.
c) reject null
d) There is sufficient evidence to conclude that students who learn English as well as another language simultaneously score worse on the SAT Critical Reading Exam.