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
If Holly gets 14 % off a shirt , what percent of the original price will still pay​
scoundrel [369]

Answer:

Holly will still pay 86% of the original price.

Step-by-step explanation:

Given

  • Holly gets 14% off a shirt, so
  • Discount = 14%

To determine

What percent of the original price will still pay.

All we need is to subtract the percentage of discount from 100.

i.e.

100 - Discount = 100 - 14 = 86%

The amount left over would be what remains of the original price after Holly gets 14 % off a shirt.

Thus, Holly will still pay 86% of the original price.

3 0
3 years ago
Colin pays £721.45 a year on his car insurance.
laila [671]

Answer:

Id

I forget

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 208 divided by 4
vodomira [7]

Answer:52

Step-by-step explanation:

5 0
3 years ago
12*11*35 is supposed to be 4260 right? Does anyone know the steps for this? (CBSE Grade 6)
slamgirl [31]
Step One: Line Up All the Digits. First, line up all of the numbers according to their place value.
Step Two: Multiply by the Ones Digit. ...
Step Three: Add a Zero Place Holder. ...
Step Four: Multiply by the Tens Digit. ...
Step Five: Add the Two Answer Rows Together.
6 0
2 years ago
Find the gcf of 15a and 28b^2. 9ab^2 0 3 1
lions [1.4K]
Answer:

GCF(15a; 28b²) = 1
5 0
3 years ago
Other questions:
  • Using the distributive property simplify completely
    7·2 answers
  • WILL MARK BRAINLIEST
    13·1 answer
  • Here is a table of values y=f(x).
    9·1 answer
  • 10. Plot the means of all six groups on a class dot plot.
    10·1 answer
  • The cost of renting a canoe to use on River Y costs $35. The cost of renting a canoe to use on River Z costs $5 per hour plus a
    7·1 answer
  • I NEED HELP NOW 8th GRADE MATH
    11·1 answer
  • How many miles is it from honolulu to turtle bay?
    5·1 answer
  • Algebraic expression for : Eighteen subtracted from half a number.
    14·1 answer
  • How would you write one million as a power of 10? Thank you appreciate your help!
    13·2 answers
  • Please solve this problem please ASAP !
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!