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Molodets [167]
2 years ago
14

The hypotenuse of a right triangle is 50ft

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
6 0

Answer:

is that question complete?????

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The Nellie Mae organization conducts an extensive annual study of credit card usage by college students. For their 2004 study, t
Masja [62]

Answer:

1. Null Hypothesis, H_0 : p_1-p_2=0  or  p_1=p_2  

  Alternate Hypothesis<u>,</u> H_A : p_1-p_2\neq 0  or  p_1\neq p_2

2. Test statistics = 4.63

    P-value = 0.00001

3. We conclude that the proportion of undergraduate students who held a credit card differed between these two years.

Step-by-step explanation:

We are given that the Nellie Mae organization conducts an extensive annual study of credit card usage by college students.

For their 2004 study, they analyzed credit bureau data for a random sample of 1,413 undergraduate students between the ages of 18 and 24. They found that 76% of the students sampled held a credit card. Three years earlier they had found that 83% of undergraduates sampled held a credit card.

<em>Let  </em>p_1<em> = population proportion of undergraduate students who held a credit card in year 2001</em>

<em />p_2<em> = population proportion of undergraduate students who held a credit card in year 2004</em>

1. <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1=p_2   {means that the proportion of undergraduate students who held a credit card does not differed between these two years}

<u>Alternate Hypothesis,</u> H_A : p_1-p_2\neq 0  or  p_1\neq p_2   {means that the proportion of undergraduate students who held a credit card differed between these two years}

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

                        T.S.  = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of undergraduate students who held a credit card in 2001 = 83%

\hat p_2 = sample proportion of undergraduate students who held a credit card in 2004 = 76%

n_1 = sample of students surveyed in 2001 = 1,413

n_2 = sample of students surveyed in 2004 = 1,413

So, <em><u>test statistics</u></em>  =   \frac{(0.83-0.76)-(0)}{\sqrt{\frac{0.83(1-0.83)}{1,413} +\frac{0.76(1-0.76)}{1,413}} }  

                               =  4.63

2. <u><em>Hence, the value of test statistics is 4.63.</em></u>

Also, P-value is given by the following formula;

         P-value = P(Z > 4.63) = 1 - P(Z \leq 4.63)

                                             = 1 - 0.99999 = <u>0.00001</u>

<em />

3. <em>Since in the question we are not given the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics is does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the proportion of undergraduate students who held a credit card differed between these two years.

6 0
3 years ago
Interest = $30, Principal = ? Rate = 3%, Time = 4 years​
Ahat [919]

Answer:

Simple interest is one of the most basic ways to calculate how much financing will cost you or how much you can earn on an investment. Check out our simple interest calculator to find out what you will pay or earn over time.

Step-by-step explanation: sorry lol

5 0
3 years ago
Can anyone answer me pls I need help
Afina-wow [57]

Answer:

4,9

Step-by-step explanation:

i looked it up on a website,uhhhhh i don't know if its completely write soooo.....

8 0
3 years ago
Read 2 more answers
A house painter was told by his boss to purchase enough paint to cover 75 square feet to finish a project. The house painter hap
Rama09 [41]
It must be noted that the area of the square is calculated through the equation,
                                    A = s²
where A is area and s is the measure of one side of the square. 
To determine the measure of one side of the square, we simply have to get the square root of the area,
                                               s = √A
Substituting the known value,
                                                s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm. 
7 0
3 years ago
Read 2 more answers
The L.I.C. bulldogs won 15 soccer games last year. This year the bulldogs won 21 games. What is the percent increase in the numb
bonufazy [111]
3.5% increase 
21-15=6
21/6=3.5%
8 0
3 years ago
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