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

3 years ago

What is the surface area of the regular pyramid given below?

yuradex [85]

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

$SA = \frac {1} {2} p * S + A_ {b}$

Where:

p: It is the perimeter of the base

S: It's the inclination

$A_ {b}:$ It is the area of the base

Substituting:

$A_ {b} = 7 ^ 2 = 49units ^ 2\\p = 7 + 7 + 7 + 7 = 28units\\S = 10units\\SA = \frac {1} {2} 28 * 10 + 49\\SA = 140 + 49\\SA = 189 \ units ^ 2$

ANswer:

Option B

3 0

4 years ago

After the party, 3 1⁄4 pecan pies remained. The next day, Edward's family ate 1 1⁄4 of a pie. How many pecan pies were left?

vlabodo [156]

Answer:

Step-by-step explanation:

Because 3-1 is 2 and 1/4-1/4=0

So 2

4 0

3 years ago

Read 2 more answers

What times what equal 12 but add up to 10

Alexandra [31]

1 x 12 2 x 6 3x4 I think that's it. Maybe it's no solution?

4 0

3 years ago