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

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.

Let p = proportion of all cars in San Francisco who are blue

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

Alternate Hypothesis, : p 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 One-sample z proportion statistics;

                                  T.S.  =  ~ N(0,1)

where, = sample proportion of 600 cars in San Francisco who are blue =   = 0.235

            n = sample of cars = 600

So, test statistics  =  

                               =  -0.866

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.

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

102.222 square yards of light.

Step-by-step explanation:

From the above question, the yard had the dimensions 40 feet long and 23 feet wide.

Hence, the yard is rectangular in shape.

We have to find the area of the yard.

The formula is given as:

Area = Length × Width

= 40 feet × 23 feet

= 920 square feet

Converting to yards

1 square foot = 0.111 square yard

920 square feet = x

Cross Multiply

x = 920 × 0.111 square yard

x = 102.222 square yards.

Therefore, Robbert would need 102.222 square yards of light.