Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
same thing as:

there are two 8's and two x's in there so they can come out to give you the
answer 8x
Answer: Second option is correct.
Step-by-step explanation:
Since we have two spinners,
Each spinner has 10 equal sectors labeled with the numbers from 1 to 10.
Primes numbers from 1 to 10 is given by

So, number of outcomes shows a primes number from 1 to 10 = 4
Similarly ,
Composite numbers from 1 to 10 is given by

So, number of outcomes shows a composite number from 1 to 10 =5
∴ Total outcomes show a prime number on the first spinner and a composite number on the second spinner is given by

Thus, Second option is correct.
Answer:
6:7
Step-by-step explanation:
I think that the answer is 16