If 3^x = 54, then which of the following must be true?

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

Step-by-step explanation:

We have the following info given from the problem:

$n= 800$ the random sample of voters selected from the town

$\hat p = 0.34$ represent the proportion of residents favored construction

$p_o = 0.30$ represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And with the data given we have:

$z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469$

7 0

2 years ago

Find the least common denominator for these two rational expressions. 3/2n -2/5n

Zielflug [23.3K]

Every rational expression can be written in infinitely many equvialent forms which is 3/3n-15/2.

8 0

3 years ago

Read 2 more answers

Use the figure below to find the distance across the river (IK)

Black_prince [1.1K]

Step-by-step explanation:

ΔJLK = ΔNLM ( vertically opposite Δ)

ΔJKL = ΔNML ( each 90° )

so,

triangle JKL = triangle NML (by AA similarity)

JK / KL = NM / ML

JK / 21m = 42m / 49m

JK = 42 × 21 ÷ 49

JK = 18m

<h2>_______________</h2><h2>FOLLOW ME</h2>

3 0

3 years ago

Rita runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

kherson [118]

You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles

5 0

3 years ago

What is the value of 7r

lara31 [8.8K]

Is there an image so I can see

4 0

3 years ago