Which statement must be true

When we test Upper H 0: muequals0 against Upper H Subscript a: mugreater than0, we get a P-value of 0.03. a. What would the

Anastasy [175]

Answer:

(a) The null hypothesis will be rejected.

(b) Type I error

(c) The null hypothesis will not be rejected. The error is type II error.

Step-by-step explanation:

The hypothesis provided is:

$H_{0}: \mu = 0\\ H_{a} : \mu > 0$

The p-value of the test obtained is 0.03

(a)

Decision rule for hypothesis testing, based on p-value, states that if the p-value is less than the significance level (α) then the null hypothesis is rejected and vice versa.

The significance level is α = 0.10

Then,

$p-value = 0.03 < \alpha = 0.10$

Thus, the null hypothesis will be rejected.

Conclusion:

The null hypothesis is rejected stating that the value of μ is more than 0.

(b)

If the decision in (a) is an error, i.e. the null hypothesis is rejected when in fact it is true, this type of error is known as type I error.

(c)

The significance level is α = 0.01

Then,

$p-value = 0.03 > \alpha = 0.01$

Thus, the null hypothesis will not be rejected.

Conclusion:

The null hypothesis was not rejected stating that the value of μ is 0.

If this decision is an error, i.e. the null hypothesis was not rejected when in fact it is false, this type of error is known as type II error.

3 0

3 years ago

I am having trouble<br> 2(10-13x)=-34x+60

Elis [28]

<span>x = 5 i beliavie :)..............................</span>

5 0

3 years ago

Cqn someone answer this?

Norma-Jean [14]

Answer:

-3

Step-by-step explanation:

-11/2+27/4+(-17/4)
(-22+27-17)/4
(-12)/4
-3

7 0

3 years ago

Read 2 more answers

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. Which of the following expres

Semmy [17]

Answer: Area of rectangle can be given by expressions:

$(s-6)(s+1)\text {and }s^2-5s-6$

Step-by-step explanation:

Given : A square has sides of length s.

According to the question,

Dimensions of new rectangles=(s-6)×(s+1)

Thus, Area of rectangle= (s-6)×(s+1)

$=s^2-6s+s-6\\\Rightarrow\ s^2-5s-6$

Thus , area of rectangle can be given by expressions:

$(s-6)(s+1)\text {and }s^2-5s-6$

5 0

3 years ago

Read 2 more answers

PLS HELP PLS

mariarad [96]

The scale factor from Figure A to Figure B is 4

<h3>How to determine the scale factor from Figure A to Figure B?</h3>

From the question, we have the following statement:

Figure B is a scaled copy of Figure A.

The corresponding side lengths of figure A and figure B are:

Figure A = 10

Figure B = 40

The scale factor from Figure A to Figure B is then calculated as:

Scale factor = Figure B/Figure A

Substitute the known values in the above equation

Scale factor = 40/10

Evaluate the quotient

Scale factor = 4

Hence, the scale factor from Figure A to Figure B is 4