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Basile [38]
3 years ago
8

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

decision be for a significance level of 0.10​? Interpret in context. b. If the decision in​ (a) is in​ error, what type of error is​ it? c. Suppose the significance level were instead 0.01. What decision would you​ make, and if it is in​ error, what type of error is​ it?
Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

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.

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5. If f(x) = -x2 - 7x +4 and g(x) = -5x - 3, what is the value of f(-2)-g(6)
Alex787 [66]

9514 1404 393

Answer:

  47

Step-by-step explanation:

Evaluate the functions and find the required difference.

  f(-2) = -(-2)^2 -7(-2) +4 = -4 +14 +4 = 14

  g(6) = -5(6) -3 = -33

Then the difference is ...

  f(-2) -g(6) = 14 -(-33) = 14 +33 = 47

5 0
3 years ago
12 one half times one nine
pshichka [43]

Answer:

1\frac{7}{18}  or one seven eighteenths

Step-by-step explanation:

we know that

12 one half times one nine is the same that multiply 12 one half by one nine

so

(12\frac{1}{2})(\frac{1}{9})

Convert mixed number to an improper fraction

12\frac{1}{2}=12+\frac{1}{2}=\frac{12*2+1}{2}=\frac{25}{2}

substitute

(\frac{25}{2})(\frac{1}{9})=\frac{25}{18}

Convert to mixed number

\frac{25}{18}=\frac{18}{18}+\frac{7}{18}=1\frac{7}{18}

therefore

12 one half times one nine is one seven eighteenths

6 0
3 years ago
An actor invests some money at 9​% simple​ interest, and ​$24,000 more than three times the amount at 10​% simple interest. The
Andrew [12]

Answer:

The amount invested at 9% is $93000

The amount invested at 10% is $303000

Step-by-step explanation:

Let the amount invested at 9% interest rate be x

And the amount invested at 10% rate be y

Simple Interest from x in a year = 0.09x

Simple Interest from y in a year = 0.1y

But y = 24000 + 3x

And the sun of the interests, 0.09x + 0.1y = 38670

Now we have a simultaneous eqn

y = 24000 + 3x (eqn 1)

0.09x + 0.1y = 38670 (eqn)

Substitute y into eqn 2

0.09x + 0.1(24000 + 3x) = 38670

0.09x + 2400 + 0.3x = 38670

0.39x = 38670 - 2400

x = 36270/0.39 = $93000

y = 24000 + 3x = 24000 + 3 × 93000 = $303000

8 0
3 years ago
At gary’s grocery, 3 apples cost $2.85. at sally’s supermarket, 5 apples cost $4.85. which store offers a cheaper price per appl
Fiesta28 [93]
Gary's grocery store sells cheaper apples

3 0
3 years ago
Which pair of numbers is relatively prime?
Vladimir [108]
I think it is 21 and 50. The only common factor they have is 1.


All the others are divisible by 1 & 3.
3 0
3 years ago
Read 2 more answers
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