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Marianna [84]
3 years ago
12

The test statistic of zequalsnegative 1.54 is obtained when testing the claim that pless than0.18. a. Using a significance level

of alphaequals0.05​, find the critical​ value(s). b. Should we reject Upper H 0 or should we fail to reject Upper H 0​?
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

(a) The z-critical value for a left-tailed test, for a significance level of α=0.05 is -1.64.

(b) Since -1.54 > -1.64, therefore we accept H₀.

Step-by-step explanation:

(a)

It is given that the value of test statistic is

z=-1.54

We need to test the claim that p<0.18.

Null hypothesis: H_0:p=0.18

Alternative hypothesis: H_1:p

It is a left tailed test.

Significance level:

\alpha=0.05

The z-critical value for a left-tailed test, for a significance level of α=0.05 is -1.64.

(b)

It is a left tailed test and critical value is -1.64 it means the region on left of -1.64 is rejection region.

The value of z is -1.54 and the critical value is -1.64.

We know that -1.54 > -1.64.

Therefore we accept H₀.

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Answer:

x = 16

Step-by-step explanation:

 SR = ST ⇒ Two sides are equal. So, ΔSRT is an isosceles triangle.

The angles opposite to equal sides are equal.

  ⇒  ∠STR  = ∠R

       ∠STR = 4x - 28

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∠STR + ∠STU = 180°    {linear pair}

4x - 28 + 9x = 180

4x + 9x - 28  = 180      {Combine like terms}

       13x- 28 = 180

Add 28 to both the sides

          13x    = 180 + 28

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Divide both sides by 13

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  \sf \boxed{x = 16}

8 0
1 year ago
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Find the indicated side of the<br> right triangle.
Advocard [28]

Answer:

?=9

Step-by-step explanation:

We have a special right triangle, the 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are x, and the hypotenuse is x√2.

Since we know that the side length is 9, this means that:

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8 0
3 years ago
The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer
Novay_Z [31]

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of <em>that</em> and add this to the price.

Solve:

105 • 0.65 = 68.25                      Find 65% of 105

105 + 68.25 = 173.25                  Add the markup to the price

173.25 • 0.20 = 34.65                 Find the discount of the new price

173.25 - 34.65 = 138.60              Subtract discount from price

138.60 • 0.075 = 10.395             Find sales tax of new price (Or round to 10.40)

<u>138.60 + 10.395 = </u><u>148.995</u><u>         Add sales tax to new price (Or </u><u>149</u><u>)</u>

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

3 0
3 years ago
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