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A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago

Simplify expressions 2a+3+a+4

Norma-Jean [14]

3a plus 7. you group the whole numbers together and than the a's. so 3+4 is 7. 2a + a is 3a.

4 0

3 years ago

Read 2 more answers

Can someone help if you can’t tell I suck at math?

Ad libitum [116K]

Answer:

Step-by-step explanation:

1. There will be 9 roses in total.

Probability Orange: 2/9

Probability Yellow: 3/9 = ⅓

Probability Pink: 4/9

2. 4/7 as there are 7 bowls in total and 4 are chocolate.

3. 4/10 = ⅖ (simplified) There are 10 fruits in total and 4 are apples.

4. 5/15 = ⅓ (simplified) There are 15 cars in total and 5 or them are cooper minis.

5. 2/6 = ⅓ (simplified) There are 6 textbooks and 2 of them are math.

6. 13/20 There are 20 drinks and 13 of them are lemonade.

7. There are 10 toys in total.

Probability toy cars: 3/10

Probability dolls: 2/10 = ⅕ (simplified)

Probability balls: 5/10 = ½ (simplified)

8. In total the number of red roses and lilies are 7. There are 10 flowers in total so the number of jasmines are 3. Therefore the probability of getting a jasmine is 3/10

9. 20/50 = ⅖ (simplified) There are 50 papers in total and 20 of them are yellow.

10. 8/18 = 4/9 (simplified) There are 18 buses and 8 of them are air conditioned.

8 0

3 years ago

A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

$s(t) =16t^2+32t$