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NikAS [45]
3 years ago
9

In a national survey of 1987 adults, 1570 responded that lack of respect and courtesy in American society is a serious problem,

and 1257 indicated that they believe that rudeness is a more serious problem than in past years. Is there convincing evidence that more than three-quarters of U.S. adults believe that rudeness is a worsening problem? Test the relevant hypotheses using a significance level of 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.)
Mathematics
1 answer:
Alik [6]3 years ago
3 0
<h2>Answer with explanation:</h2>

As per given , we  have

H_0: p\leq\dfrac{3}{4}\\\\H_a: p>\dfrac{3}{4}

Since , alternative hypothesis is right tailed, so the test is a right tailed test.

n= 1987

Proportion of adults believe that rudeness is a worsening problem : p=\dfrac{1257}{1987}\approx 0.6326

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{ 0.6326-0.75}{\sqrt{\dfrac{0.75(1-0.75)}{1987}}}=-12.09

(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)

The critical value for a significance level of 0.005= 1.645

Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.

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Which ordered pair is a solution of the equation
andrew11 [14]
(0,-7)
-7=11(0)+4
-7=0+4
-7 is not 4 -----not a solution

(-1,-7)
-7=11(-1)+4
-7=-11+4
-7=-7 ----solution

(1,-7)
-7=11(1)+4
-7=11+4
-7=15
-7 is not 15 ----not a solution

(2,26)
26=11(2)+4
26=22+4
26=26 ----soltion

(-1, -7) & (2, 26) are solutions to the equation
4 0
3 years ago
Find the value of x to the nearest tenth.
vladimir1956 [14]

Answer:

The answer to your question is  x = 14.7  

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

                   x / sin 46 = 7 / sin 20

-Solve for x

                          x = 7 sin 46 / sin 20

-Simplification

                          x = 7 (0.719) / 0.342

                          x = 5.035/0.342

-Result

                         x = 14.7  

6 0
3 years ago
Which expression is equivalent to<br> %?
olganol [36]

Answer:

x^{\frac{2}{3} }

Step-by-step explanation:

⇒ x^({\frac{4+2}{3}) } ^{\frac{1}{3} }

⇒ (x^{\frac{6}{3} })

⇒ (x^{2} )\frac{1}{3}

⇒ x^{\frac{2}{3} }

8 0
2 years ago
The local park has 4 bike racks. Each bike rack can hold 15 bikes. There are 16 bikes in the bike racks. What expression shows t
Step2247 [10]
44 that's a tricky question at first i thought it was -1 lol
5 0
3 years ago
Find the area D (1,3) F (-4,-3) E (4, -3)​
tresset_1 [31]

Answer:

Step-by-step explanation:

FE=4+4=8

Altitude=3+3=6

area=1/2×FE×6=1/2×8×6=24 sq. units.

or

area=1/2×

I 1   3|

|-4 -3|

| 4 -3|

|  1  3|

=1/2[(-3+12)+(12+12)+(12+3)]

=1/2[9+24+15]

=1/2[48]

=24 sq. units

7 0
3 years ago
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