Find the equation the line with the given information below: slope = 3, y-intercept = (0, 2).

The data given to the right includes data from candies, and of them are red. The company that makes the candy claims that % of

Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

$n = 39, \pi = \frac{8}{39} = 0.2051$

Hence the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318$

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

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7 0

2 years ago

I need help with elimination the equation is -3x + 2y= 7 and 4x + 4y= -6

LiRa [457]

Answer:

reference attached

hope it helps you <3

5 0

2 years ago

Read 2 more answers

PRECALCULUS HONORS HELP ME PLZ AND THANKS

Natalka [10]

Inequalities are used to show the relationship between unequal expressions

The set notation of (5) and (6) are: $\{x : -6 > x \ge -2\}$ and $\{x:-4 < x \ge 6\}$ .
See attachment for the graphs

The following should be notated when plotting the graph of an inequality

< and > are represented with open circles, while $\leq$ and $\geq$ are represented with closed circles
The arrows of and $\le$ point to the left, while the arrows of $>$ and $\geq$ point to the right.