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
Sonbull [250]
3 years ago
15

A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco

and find that 141 are blue. Conduct a hypothesis test to see if you can reject the dealer's claim with a significance level of 0.05. Include all ten steps of the hypothesis testing process. Write your answer on a piece of paper and upload a photo or scan, or else type your answer into a electronic document and upload that document. In order to get full credit you must
Mathematics
1 answer:
sammy [17]3 years ago
4 0

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

<u><em>Let p = proportion of all cars in San Francisco who are blue</em></u>

SO, Null Hypothesis, H_0 : p = 25%   {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

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

where, \hat p = sample proportion of 600 cars in San Francisco who are blue =   \frac{141}{600} = 0.235

            n = sample of cars = 600

So, <u><em>test statistics</em></u>  =  \frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }

                               =  -0.866

<em>Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

You might be interested in
Evaluate the function.<br> f(x) = -2x2 + 7<br> Find f(-5)
Alla [95]
-2(-5)^2 + 7
-2 • 5^2 + 7
-2 • 25 + 7
-50 + 7
-43
6 0
2 years ago
Simplify 4.3^2-7?<br> A)8<br> B)17<br> C)29<br> D)43
kakasveta [241]

Answer:

C

Step-by-step explanation:

Simplify 4.3^2-7?

= 4 × 3^2 - 7

= 4 × 9 - 7

= 36 - 7

= 29

5 0
3 years ago
I need help asap please
olga55 [171]
8x^2y is correct
Hope this helps
8 0
3 years ago
Cho tam giác ABC đều cạnh a. Khi đó <br> vectorAb+vectorAC  bằng:
Nikolay [14]

Answer:

a\sqrt{3}

Step-by-step explanation:

6 0
3 years ago
SOMEONE HELP ME BRO I NEED DA ANSWER
cupoosta [38]

I think that would be 0.202. ( Sorry if i'm wrong )

Hope helps?-aparri

6 0
3 years ago
Other questions:
  • Can someone help me figure this out? I don’t even know if I’m doing this right...
    14·1 answer
  • Do these ratios form a proportion? 26 medium hats to 2 small hats 39 medium hats to 3 small hats
    8·2 answers
  • Simplify and Evaluate
    12·1 answer
  • What is 6 divided by 2/3
    13·1 answer
  • 96+13= 13 +____.what is the property used
    13·2 answers
  • Kim made soup which contains 75 total ounces of beans. the soup has two kinds of beans, black and red. there are 4 times as many
    8·1 answer
  • Please hurry
    14·1 answer
  • PLESE HELP ALGEBRA 1 QUESTION
    7·2 answers
  • 75,4,3,100 form of proportion<br><br>​
    9·1 answer
  • Just answer number 5 pls
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!