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.
Answer:
or
(they're the same)
Step-by-step explanation:
- Simplify:
- Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18
- Write the new fractions:
- Subtract: -45/30 - 18/30 =
I hope this helps!
Answer:
K>7
Step-by-step explanation:
This line has an undefined slope. This means that there is only a rise not a run
The x values stay the same no matter the y value.
This means that the equation is:
x = 3
Hope this helped!
~Just a girl in love with Shawn Mendes
Remember that x =r cos theta and y = r sin theta. Thus,
x + y = r (cos theta + sin theta) = 4, or
r (cos theta + sin theta) = 4, or
4
r = -------------------------------
cos theta + sin theta