Solve: 64-37-3 .64+ 22 = 38 0 00 000 8 9 0300 DONE

Several years ago, 43% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Ne4ueva [31]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set of hypothesis :

$H_0: p=0.43\\\\ H_a:p\neq0.43$

Confidence interval for population proportion is given by :-

$\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where

n= sample size

$\hat{p}$ = sample proportion

and $z_c$ is the two-tailed z-value for confidence level (c).

As per given ,

Sample size of parents : n= 1085

Number of parents indicated that they were satisfied= 466

Sample proportion : $\hat{p}=\dfrac{466}{1085}\approx0.429$

Critical value for 90% confidence interval : $z_c=1.645$ ( by z-value table)

Now, the 90% confidence interval :

$0.429\pm (1.645)\sqrt{\dfrac{0.429(1-0.429)}{1085}}\\\\=0.429\pm 0.0247\\\\=(0.429-0.0247,\ 0.429+0.0247)\\\\=(0.4043,\ 0.4537)$

Thus , the 90% confidence interval: (0.4043, 0.4537).

Since 0.43 lies in 90% confidence interval , it means we do not have enough evidence to reject the null hypothesis .

i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.

3 0

3 years ago

A____ function is a function that can be expressed as the quotient of two polynomial functions

r-ruslan [8.4K]

Answer:

rational function

Step-by-step explanation:

That would be a "rational function;" it's the "ratio" of two polynomial functions, with the understanding that the denominator may not be zero.

7 0

3 years ago

Read 2 more answers

7. The total cost to rent a truck is $100 and $0.20 per km.

eduard

Answer:

. The total cost to rent a truck is $100 and $0.20 per km. a. Determine an algebraic model for the relationship between total cost and distance driven. Use Cto represent total cost ($) to rent the truck and d to represent distance driven (km). C=$100+$0.20d b. Create a graphical model. You may use the Linear Graphing Tool or Desmos to create your graphical model. Take a screenshot of your graph and paste it here.

Thank you

4 0

3 years ago

Prove the following using a direct proof:

hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

$5^{2}$ = 25