Several years ago, 39% of parents who had children in grades k-12 were satisfied with the quality of education the students receive. a recent poll asked 1 055 parents who have children in grades k-12 if they were satisfied with the quality of education the students receive. of the 1 055 surveyed, 466 indicated that they were satisfied. construct a 95% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.

We can say that 95% confidence interval represents evidence that parents attitudes toward the quality of education have changed.

Step-by-step explanation:

Given :

39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

The 1055 surveyed, 466 indicated that they were satisfied with the quality of education the students receive.

95% confidence interval.

Sample Size, n = 1055

Solution :

Hypothesis -

Now sample proportion,

For 95% confidence critical value is

Now Confidence interval is

= (0.41 , 0.47)

Since confidence interval does not contain 0.39 hence we reject the null hypothesis.

Therefore we can say that 95% confidence interval represents evidence that parents attitudes toward the quality of education have changed.

For more information, refer the link given below

link

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.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

Sample size : n= 1055

Sample proportion :

Critical value for 95% confidence :

Confidence interval :

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!