Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

H0 : p = 0.44

Ha : p > 0.44

Now,

Test Statistics is

z = (p bar - p)/ sqrt(p(1-p)/n)

= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)

= 2.34

⇒z = 2.34

So,

p-value = P(Z > z)

= P(Z > 2.34)

= 0.0096

⇒p-value = 0.0096

7 0

2 years ago

How Solve The D. E dy/dx=2x^5 y^3 - 4y/x

Pachacha [2.7K]

Dy/dx (2x⁵ y³ - 4y/x)

dy/dx (2y³ x⁵ - 4y/x)

dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)

= 2y³ 5x⁴ - (-4y × 1/x²)

=
10x⁶ y³ + 4y
-------------------
x²

3 0

2 years ago