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Ket [755]
3 years ago
14

A soccer team is having a car wash the team spent $75 on supplies and $260 including tips....

Mathematics
1 answer:
Elena L [17]3 years ago
7 0
It is 185 after paying for the supplied
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Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h
irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = <u><em>population proportion.</em></u>

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, H_0 : p = 0.70      {means that the population proportion is equal to 0.70}

Alternate Hypothesis, H_A : p < 0.70      {means that the population proportion is less than 0.70}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

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

where, \hat p = sample proportion = 0.63

            n = sample of observations = 100

So, <u><em>the test statistics</em></u>  =  \frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }

                                     =  -1.528

The value of z-test statistics is -1.528.

<u>Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.</u>

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

4 0
3 years ago
You want to save for retirement. assuming you are now 25 years old and you want to retire at age 50, you have 25 years to watch
mr_godi [17]

Answer:

4250

Step-by-step explanation:

0.13 = 13%

1000×0.13=130
130×25= 3250 + 1000 = 4250

What I did:

You have to turn the percent to a decimal first

Then multiply the decimal by the first investment amount (1000)

then multiply that by the years that you have before retirement
You add that amount plus the 1000 you have started with

8 0
2 years ago
Solve 4x+2=12 for using the change of base formula logby=logy over logb
s2008m [1.1K]

Answer:

log₄ 10 = log₁₀ 10 / log₁₀ 4

Step-by-step explanation:

Taking the x to be a power then;

4^x +2 =12

4^x = 12-2

4^x=10

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

8 0
3 years ago
Read 2 more answers
10 less than three times a number is 23. Find the number
Charra [1.4K]

Answer:

x=11

Step-by-step explanation:

10 less than three times a number is 23

3x-10=23

3x=33

x=11

4 0
3 years ago
Read 2 more answers
Jaquavion's grandfather cut 68 1/2 bales of hay from 2 fields. He cut 23 1/4 from 1 field. How many bales did he cut from the ot
Olin [163]
His grandfather cuts 45 1/4 bales of hay in the other field
4 0
3 years ago
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