1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ganezh [65]
3 years ago
8

A sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's p

romotional literature claimed that above 29% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim
Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer:

Yes, we have sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

We are given that a sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that above 29% do not fail in the first 1000 hours of their use.

Let Null Hypothesis, H_0 : p \leq 0.29  {means that less than or equal to 29% do not fail in the first 1000 hours of their use}

Alternate Hypothesis, H_1 : p > 0.29  {means that more than 29% do not fail in the first 1000 hours of their use}

The test statics that will be used here is One-sample proportions test;

          T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = proportion of chips that do not fail in the first 1000 hours of their use = 32%

            n = sample of chips = 1500

So, <u>test statistics</u> = \frac{0.32-0.29}{\sqrt{\frac{0.32(1-0.32)}{1500} } }

                              = 2.491

<em>Now, at 0.02 level of significance the z table gives critical value of 2.054. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it fall in the rejection region.</em>

Therefore, we conclude that more than 29% do not fail in the first 1000 hours of their use which means we have sufficient evidence at the 0.02 level to support the company's claim.

You might be interested in
Which shows 4x+2y=-16
mrs_skeptik [129]
4x+2y=-16
answer is -2,-8
7 0
3 years ago
Roselyn is a college student with two part-time jobs. She works a few hours a day at the college laboratory, which pays her at a
VladimirAG [237]

Answer:

15 hours.

Step-by-step explanation:

We first need to see how much money Rose would earn if she sold the 10 pendents, so we will multiply 4×10.

4×10=40

Now we know, she already has 40 dollars of the 160 dollars she needs.

To find out how much she needs left, we will subtract 40 from 160.

160-40=120

She needs a total of 120 more dollars from working.

To find out how many hours she needs to work, we will divide 120 by 8.

120÷8=15.

In conclusion, she needs to work for at least15 hours to receive enough money.Please help me by marking this brainliest, and giving a thanks!

8 0
2 years ago
John runs 15 miles in 3hours. how many miles can john run per hour
nata0808 [166]

Answer:

5 miles an hour

Step-by-step explanation:

15 divided by 3

3 0
3 years ago
Edgar Elementary
kirza4 [7]

Answer:3333

Step-by-step explanation:

4 0
2 years ago
A student has started a lawn care business
kondaur [170]

Step-by-step explanation:

$21=per hour mowling

$17=per hour gardening

only work 16 hours per week

Goals =$275 per week

$275÷16 hours=<u>$</u><u>17.1875</u><u>(</u><u>Each</u><u> </u><u>hour</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>week</u><u>)</u>

<u>mow</u><u> </u><u>lawns</u><u>=</u><u> </u><u>$</u><u>17.1875</u><u> </u><u>×</u><u>$</u><u>12</u><u>=</u><u>$</u><u>206.25</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>

<u>gardening</u><u>=</u><u>$</u><u>17.1875 </u><u>×</u><u>$17=$292.1875</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>

<u>m</u><u>o</u><u>w</u><u>l</u><u>i</u><u>n</u><u>g</u><u> </u><u>lawns</u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>21</u><u>=</u><u>13.0952380952</u><u>(</u><u>13</u><u> </u><u>hours</u><u>,</u><u>12</u><u> </u><u>minutes</u><u> </u><u>and</u><u> </u><u>30</u><u> </u><u>seconds</u><u>)</u>

<u>Gardening</u><u> </u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>17</u><u>=</u><u> </u><u>$</u><u>16.1764705882</u><u> </u><u>(</u><u>970</u><u> </u><u>hours</u><u>,</u><u>9</u><u> </u><u>minutes</u><u>,</u><u>80</u><u> </u><u>seconds</u><u>)</u>

<u>A</u><u> </u><u>little</u><u> </u><u>help</u><u> </u><u>not</u><u> </u><u>fully</u><u> </u><u>answered</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

8 0
3 years ago
Other questions:
  • What equation is graphed in this figure?
    14·1 answer
  • Today the price of a new cell phone is $129 in 2000 the price of a similar cell phone was $240 what is the percent of change in
    8·1 answer
  • PLEASE HELP MEE (40 points) will Mark BRAINLIEST!
    11·1 answer
  • Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x-ax
    9·2 answers
  • To the nearest hundredth, what is the value of x? <br> 36.08<br> 41.51<br> 47.81<br> 72.88
    8·1 answer
  • Which expression is equivalent to t + 4 + 3 - 2t<br><br> 1. t+7<br> 2. -t+7<br> 3. 6t<br> 4. 10t
    13·1 answer
  • Find the area of the figure
    7·1 answer
  • I WILL MARK BRAINIEST
    13·1 answer
  • Yoo wsg everyone hope ur having a good day and plz solve the question in the pic
    9·1 answer
  • What is the value of Y
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!