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
astra-53 [7]
2 years ago
12

Use the results from a survey of a simple random sample of 1176 adults. Among the 1176 respondents, 77% rated themselves as abov

e average drivers. We want to test the
claim that
7/10 of adults rate themselves as above average drivers. Complete parts (a) through (c)
a. Identify the actual number of respondents who rated themselves as above average drivers
(Round to the nearest whole number as needed)
Mathematics
1 answer:
Serjik [45]2 years ago
7 0

Using the sample data to test the hypothesis, we have that:

  • The actual number of respondents who rated themselves as above average drivers is 906.
  • The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

77% of the sample of 1176 adults rated themselves as above average drivers, that is:

0.77(1176) = 906.

Thus, the actual number of respondents who rated themselves as above average drivers is 906.

At the null hypothesis, we test if the proportion is \displaystyle \frac{7}{10} = 0.7, that is:

H_0: p = 0.7

At the alternative hypothesis, we test if the proportion is greater than 70%, that is:

H_1: p \geq 0.7

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested.
  • n is the size of the sample.

In this problem, the parameters are \overline{p} = 0.77, p = 0.7, n = 1176.

Thus, the value of the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}

z = 5.24

The p-value of the test is the probability of finding a sample proportion above 0.77, which is <u>1 subtracted by the p-value of z = 5.24</u>.

Looking at the z-table, z = 5.24 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

A similar problem is given at brainly.com/question/24330815

You might be interested in
Does anyone know the answer?<br> * ANSWER ASAP *
blsea [12.9K]
The correct answer is c
8 0
3 years ago
Read 2 more answers
What is the mean price per pound for each type of produce?
IrinaK [193]

Answer:

Fruits: 107

Vegetables: 56.5

Step-by-step explanation:

Average is found by adding all of the values together and then dividing by the number of values that there are.

So for fruits, you would do 62+55+49+50+98+328 and then divide that whole thing by six.

Same for veggies, 34+122+57+21+79+26 with the answer divided by six.

6 0
3 years ago
What is the distance from P to Q ?A. 7 unitsB. 5 unitsC. 1 unitD. 25 unitshow do I find the distance from P to Q?
Alex17521 [72]

to find the distance between 2 points we should apply the formula

d=\sqrt[]{(x_2-x_1)^2+(y_2-_{}y_1)^2_{}}

call point q as point 1 for reference in the formula and p as point 2

replace the coordinates in the formula

d=\sqrt[]{(3-(-1))^2+(-4-(-1))^2}

simplify the equation

\begin{gathered} d=\sqrt[]{(3+1)^2+(-4+1)^2} \\ d=\sqrt[]{4^2+(-3)^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}

the distance between the 2 points is 5 units

7 0
1 year ago
An exponential function has a growth factor or 3.76. What is the percentage growth rate?
olganol [36]

The exponential function with a growth factor has a rate greater than 1

The percentage growth rate is 276%

<h3>How to determine the percentage growth rate?</h3>

The growth factor (b) is given as:

b = 3.76

The growth factor (b) is greater than 1.

So, the percentage growth rate (r) is calculated as:

r = b - 1

Substitute known values

r = 3.76 - 1

Evaluate the difference

r = 2.76

Express as percentage

r = 276%

Hence, the percentage growth rate is 276%

Read more about exponential functions at:

brainly.com/question/11464095

7 0
2 years ago
Helpppp!!!8th/9 grade alg What is the range of the function in the graph
stellarik [79]
The answer to your question is A
6 0
3 years ago
Other questions:
  • Which of the following pairs of functions are inverses of each other
    5·2 answers
  • The weight of an object on the moon varies directly as its weight on earth. A person who weights 150.94lb on earth weighs 25.66l
    15·1 answer
  • Write this expression in standard form by collecting like terms:
    9·1 answer
  • Can somebody please help me again with my homework it’s hard for me
    9·2 answers
  • Find the perimeter of the region that is NOT shaded. <br><br> 39 ft<br><br> 29 ft<br><br> 58 ft
    7·1 answer
  • Order these numbers from least to greatest <br><br> 4.1072,4.7,4.608,4.67
    10·1 answer
  • 84.87 is 115% of what
    9·1 answer
  • starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10mph. He then travelled back home along the sam
    15·2 answers
  • A _______ is a group of people who agree to save their money together and to make loans to each other at a relatively low rate o
    8·2 answers
  • What is the area of this trapezoid?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!