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anzhelika [568]
3 years ago
7

Please help I'm stuck on these 2 problems would help so much!! Thanks!

Mathematics
1 answer:
MrRa [10]3 years ago
4 0
700 - 100 =600 she spent $600 worth of monthly payments. if there is 12 months in a year then 600 ÷ 12 = 50 so she spent $50 a month.
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An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins
BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

H_0: p \geq 0.85

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

H_0: p < 0.85

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812

Hence the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0
1 year ago
Use the distributive property to write the following expressions in expanded form.
Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

a. 4x+4y

b. 8a+24b

c. 6x+33y

d. 63a+54b

e. 3ac+bc

f. 2xy+11yz

7 0
3 years ago
Janelle has $75. She buys jeans that are on sale for half price and then uses an in-store coupon for $10 off. After paying $1.80
kramer
75.00-37.20=37.80-1.80=36.00
so she spent 36.00 with sales tax . then 36.00*2=72.00+10.00=82.00
the jeans original price was 82.00 
 Check:
6 0
3 years ago
Let the equation of a line be described by Equation A:
umka2103 [35]
10y - 5x = 40   Add 5x to both sides
       10y = 5x + 40   Divide both sides by 10
          y = \frac{1}{2}x + 4

The y-intercept is 4 and the slope of the line is \frac{1}{2}.

You can find these by comparing your equation to the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
4 0
3 years ago
HELP ON A TEST
Strike441 [17]
First three. A, b, c.
The triangle is a right triangle.
The triangle is a Pythagorean triple.
The triangles hypotenuse is 39 inches.
7 0
3 years ago
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