Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Here:
we can use 1 sample proportion test to check the claim of John
H₀ : p₀ = 0.4
H₁ : p₀ ≠ 0.4
Test statistic is
z = p - p₀/√p₀(1-p₀)n
Let X be the random variable denoting the number of heads.
Now p = X/n
= 8/50
= 0.16
p₀ = 0.4
1-p₀ = 1-0.4
= 0.6
z = -3.464
since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Learn more about Null hypothesis here:
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Answer:
2. 31/6 3. -12/1 4. integer 5. rational number
Step-by-step explanation:
2. You multiply the 5 by 6/6, so it becomes 30/6, then add the 1/6. getting you the 31/6.
3. Since -12 is already an integer with no mixed part, you just put it over 1.
4. -12 is an integer, but is not a whole number because it is negative.
5. fractions are rational numbers
Well 1/3 for savings means that you save 1/3*4500 or 1500 dollars.
You then have $3000 left. Of this if you spend 50% on food, you spend 0.5*3000 or 1500 dollars on food.
-6×-6=36
f-34=36
34+36=70
f=70
