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professor190 [17]
3 years ago
15

According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending c

uts only, with no tax increases. An economics professor believes that fewer college students would favor deficit reduction through spending cuts only. The professor surveys 500 college students and finds that 75 of them favor reducing the deficit using only spending cuts. What is the test statistic?
A. Z=-2.80
B. Z=2.80
C. Z=-3.13
D. Z=3.13
Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

σₓ = standard error of the sample proportion = √[p(1-p)/n]

p = 0.15

n = Sample size = 500

σₓ = √[0.15×0.85/500] = 0.01597

z = (0.15 - 0.20) ÷ 0.01597

z = -3.13

Hope this Helps!!!

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A.
1 hour = 60 minutes ;
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140 - 120 = 20 minutes ;
20 = 60 ÷ 3 ;
20 minutes represents ( 1 / 3 ) hour;
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2 1 / 3 = 7 / 3 = 2.(3) ;
B.
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the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning
Oliga [24]

Answer:

1 pm

Step-by-step explanation:

We have to find their LCM, or least common multiple

Multiples of 36: 36, 72, 108, 144, 180, 216, ......

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180 mins is their LCM.

180 mins = 3 hours

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-Chetan K

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2 years ago
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a) x² +1

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Step-by-step explanation:

a) (x+i)(x− i)

   = x² - ( i ) x + ( i ) x - ( i)²

   = x² -  i²                       ∵ i² = -1

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b) (x+5 i)(x− 5i)

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we can also solve

using identity

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   = x² - 25 i²

   = x² +25

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