Complete the statement with a situation and a unit of your choice. Then answer the question and draw a diagram.

According to the US Bureau of labor statistics, 7% of US female workers between 16 and 24 years old are paid at the minimum wage

vladimir1956 [14]

Answer:

The Null Hypothesis is $H_o:k_o = 0.07$

The alternative hypothesis is $H_a :k_o \ne 0.07$

Decision rule

If the test staistics is greater than the critical value of significance level then $H_o$ is accepted else $H_o$ is rejected

With the above in mind

The critical value of the significance level which is obtained from the table is

$t_{0.05} = 1.645$

Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected

Conclusion

The information is not enough to back the claim that state differs from the nation

Step-by-step explanation:

From the question we are told that

The percentage of US female workers paid at the minimum wage or less is $k_o =$ 7% = 0.07

The sample size is $n = 500$

The number paid minimum wage or less is x = 42

The significance level is $\alpha =$ 5% = 0.05

Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as

$\= k = \frac{x}{n}$

substituting value

$\= k = \frac{42}{500}$

$\= k = 0.084$

The Null Hypothesis is $H_o:k_o = 0.07$

The alternative hypothesis is $H_a :k_o \ne 0.07$

Generally the test statistics is mathematically evaluated as

$z = \frac{\= k - k_o}{\sqrt{\frac{k_o(1-k_o)}{n} } }$

substituting value

$z = \frac{0.084 - 0.07}{\sqrt{\frac{0.07 (1-0.07)}{500} } }$

$z = 1.23$

Now the Decision rule is stated as

If the test staistics is greater than the critical value of significance level then $H_o$ is accepted else $H_o$ is rejected

With the above in mind

The critical value of the significance level which is obtained from the table is

$t_{0.05} = 1.645$

Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected

So the conclusion will be

The information is not enough to back the claim that state differs from the nation

4 0

3 years ago

35 is what percent of 150? Enter your answer in decimal form to the nearest hundreth.

Sophie [7]

Answer:

23.33%

Step-by-step explanation:

Solution for 35 is what percent of 150:

35: 150*100 =

(35*100): 150 =

3500: 150 = 23.33

Now we have: 35 is what percent of 150 = 23.33

Question: 35 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=150.

Step 4: In the same vein, x%=35.

Step 5: This gives us a pair of simple equations:

100%=150(1).

x%=35(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{150}{35}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{35}{150}

Therefore, 35 is 23.33% of 150.

7 0

2 years ago

Evaluate <br> -7 - (-8) + (-3) + 6 - 2

Andru [333]

Answer:

2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A doctor collected data on how many hours children of different ages slept in a day. Data for 5 participants are

andre [41]

The answers is the picture I posted. I did in khan academy and it was right.

4 0

2 years ago

As a town gets smaller, the population of its high school decreases by 8% each year. The senior class has 250 students now. In

lianna [129]

Answer:

<em>11 years</em>

Step-by-step explanation:

This is a case of exponential decay.

Let n = number of years; p = population after n years; a = initial population; r = rate of decay

p = a(1 - r)^n

Now we substitute the numbers we know leaving n as the only unknown.

100 = 250(1 - 0.08)^n

100 = 250(0.92)^n

Divide both sides by 250.

0.4 = 0.92^n

Take the log base ten of each side.

log 0.4 = log 0.92^n

Use log rule: log a^n = n * log a

log 0.4 = n * log 0.92

Divide both sides by log 0.92

$\dfrac{\log 0.4}{\log 0.92} = n$

n = 10.989

Answer: 11 years

7 0

3 years ago