Recall that
Your sums start at , so in order to apply these formulas directly, you need to compensate for the missing first two terms:
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Answer:
a) H0 : u = 28.5%
H1 : u < 28.5%
b) critical value = - 1.645
c) test statistic Z= - 1.41
d) Fail to reject H0
e) There is not enough evidence to support the professor's claim.
Step-by-step explanation:
Given:
P = 28.5% ≈ 0.285
X = 210
n = 800
Level of significance = 0.05
a) The null and alternative hypotheses are:
H0 : u = 28.5%
H1 : u < 28.5%
b) Given a 0.05 significance level.
This is a left tailed test.
The critical value =
The critical value = -1.645
c) Calculating the test statistic, we have:
Z = -1.41
d) Decision:
We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645
e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.
inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .
<u>Step-by-step explanation:</u>
Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:
Let the the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.
⇒
But , according to question Dwight builds at most 9 models i.e.
⇒
⇒
⇒
⇒
Therefore , inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .