$H_0: p_1 = p_2\\\\H_a: p_1 \neq p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456$

Testing statistic:

$z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}$

$=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99$

Calculating the P-value Approach

$\text{P-value}= 0.3206$

7 0

2 years ago

A family pays $45 each month for cable television. the cost increases 7%.a. how many dollars is the increase?the increase is $.b

yKpoI14uk [10]

It increased by $3.15
The new monthly cost is $48.15

3 0

2 years ago

!!PLEASE HELP!! CAN GIVE BRAINLIEST!!

lara31 [8.8K]

Answer:

'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.

Step-by-step explanation:

We are given that,

Distance between Earth and Jupiter = 5.9 × 10⁸ kilometers

Distance between Earth and Mercury = 7.7 × 10⁷ = 0.77 × 10⁸ kilometers

So, we see that,

5.9 × 10⁸ > 0.77 × 10⁸

Also, Ratio = $\frac{5.9\times 10^8}{0.77\times 10^8} =7.66$

That is,

'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.

4 0

3 years ago

Right now the number 33 and 89 to estimate their sum

ozzi

Addition, you can have 89 + 33 = 122 
Commutative Property by moving: 33 + 89 = 122
Associative Property by grouping: (3 + 30) + (80 + 9 ) = 122 
Distributive Property by allotting: 10 (8.9) + 33 = 113 

 Other examples include:
Addition, you can have 33 + = 113 
Commutative Property by moving: 107 + 6 = 113 
Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 
Distributive Property by allotting: 2 (3) + 107 = 113 

Multiplication, you can have 6 x 107 = 642 
Commutative Property by moving: 107 x 6 = 642 
Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 
Distributive Property by allotting: 2(3) x 107 = 642

4 0

2 years ago