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White raven [17]
3 years ago
7

397 of 514 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected r

ecords of personal telephone calls they had made. Is there sufficient evidence to conclude that a majority of U.S. adults feel this way? Test the appropriate hypotheses using a 0.01 significance level. (For z give the answer to two decimal places. For P give the answer to four decimal places.)
z =

P =
Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

z=14.73

p=0.000

for 99% confidence level the null hypothesis is rejected, thus majority of us adults would not bothered if the NSA collected personal records.

Step-by-step explanation:

H_{0}: Half of US adults would not bothered if the NSA collect records of personal telephone calls

H_{A}: Majority of the adults would not bothered if the NSA collect records of personal telephone calls

According to the sample, z-value can be found using the formula:

z=\frac{X-M}{\sqrt{n*p*(1-p)} } where

  • X is the adults, who would not be bothered in the survey (397)
  • M is the mean of the distribution of null hypothesis (257)
  • n is the sample size (514)
  • p is the proportion of the sample, who said they would not bothered ( \frac{397}{514} ≈ 0.77)

Putting these numbers in the formula,

z=14.73  and corresponding p value is p≈0.000

Since p<0.01,  for 99% confidence level we reject the null hypothesis, thus majority of us adults would not bothered if the NSA collected personal records.

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Substract 11 3/4 - 9 8/15
Tju [1.3M]

Answer:

2 and 13/60

Step-by-step explanation:

First, we must create a common denominator in the fractions. For the given denominators, it would be 60, so 3/4 would be 45/60 and 8/15 would be 32/60. From here, we can just subtract and get 2 and 13/60.

Hope this helps!

3 0
3 years ago
Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar
Gekata [30.6K]

Answer:  It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

20X/20 = 120/20

Therefore: X=6

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4 0
2 years ago
Read 2 more answers
Triangle LMN is located at L(2,3), M(1,2), and N(4,4). The triangle is then transformed using the rule (x+5, y+2) to form the im
charle [14.2K]
Using the rule (x+5, y+2) you would add 5 to the x value and 2 to the y value so the answer would be L' (7,5) M' (6,4) N' (9,6)
8 0
3 years ago
On Sunday, a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers solid w
aleksklad [387]

Answer:

134 hamburgers sold on Sunday

Step-by-step explanation:

x+3x=536

4x=536

4x/4=x, 536/4=134

x=134

3 0
3 years ago
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weeeeeb [17]

Answer:22.36 mi/hr

Step-by-step explanation:

Given

water in a river moves south at (V_w)10 mi/hr

motorboat travels due to east at a speed of (V_b)20 mi/hr

Velocity of boat relative to the moving water V_{bw}

V_{bw}=V_b-V_w

V_{bw}=20i-(-10j)=20i+10j

Magnitude of V_{bw}=\sqrt{20^2+10^2}=\sqrt{500}

V_{bw}=10\sqrt{5} \approx 22.36 mi/hr

tan\theta =\frac{10}{20}

\theta =26.56^{\circ} with the x axis.

4 0
3 years ago
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