It takes Carmen 30 minutes to drive 3.5 miles on her golf cart. How far can Carmen drive in 120 minutes?

This claim is to be investigated at .01 levels. “Forty percent or more of those persons who retired from an industrial job befor

Degger [83]

According to the described situation, we have that:

The null hypothesis is $H_0: p < 0.4$

The decision rule is:

z < 2.327: Do not reject the null hypothesis.

z > 2.327: Reject the null hypothesis.

The value of the test statistic is of z = -0.866.

<h3>What is the null hypothesis?</h3>

The claim is:

"Forty percent or more of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available"

At the null hypothesis, we consider that the claim is false, that is, the proportion is of less than 40%, hence:

$H_0: p < 0.4$

<h3>What is the decision rule?</h3>

We have a right-tailed test, as we are testing if a proportion is less/greater than a value. Since we are working with a proportion, the z-distribution is used.

Using a z-distribution calculator, the critical value for a right-tailed test with a significance level of 0.01 is of z = 2.327, hence, the decision rule is:

z < 2.327: Do not reject the null hypothesis.

z > 2.327: Reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

In this problem, the parameters are:

$p = 0.4, n = 200, \overline{p} = \frac{74}{200} = 0.37$

Hence:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.37 - 0.4}{\sqrt{\frac{0.4(0.6)}{200}}}$

$z = -0.866$

The value of the test statistic is of z = -0.866.

You can learn more about hypothesis tests at brainly.com/question/16313918

7 0

1 year ago

The cashier has been directed to sell an item for half off its regular price of$1.98.what is the sale price

galben [10]

$1.98 divided by 2 is $0.99
So the sale price is $0.99

4 0

3 years ago

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Se

9966 [12]

Answer:

The vertex of the graph is (5, -37) [see attached image]
The parabola has a minimum [the coefficient of x² is positive]
The parabola opens up [the coefficient of x² is positive]

3 0

1 year ago

Norman is a sunflower farmer. His farm is in the shape of a parallelogram with a height measuring 3 kilometers and a base measur

Rom4ik [11]

It neve mentions how much of his farm he uses, but assuming he uses all of it
area=base times height
given
base=4.2
height=3
area=4.2 times 3
area=12.6 square kilometers

answer is 12.6 km²

5 0

2 years ago

Judy is a single woman, 25 years old. Her take home pay is $2314.92/month. She also earns $48 interest per month on her savings

Leni [432]

The monthly budget plan for Judy includes all of her income and expenses, the total balance is $ 2362.92 and she spends $ 1083.

<h3>What is the monthly budget?</h3>

A monthly budget is a personal spending plan that you use to track your monthly income and costs.

The given data in the problem is;

Home pay = $2314.92/month.

Interest earned = $48 / month

House rent = $825/month

EMI of student loan = $258/month

Total earning per month = $2314.92 + $48

Total earning per month = $ 2362.92

Amount she spends per month = $825/month + $258

Amount she spends per month = $ 1083

Hence, the total balance will be $ 2362.92 and she spend $ 1083.

To learn more about the monthly budget refer to:

brainly.com/question/570904

#SPJ1

3 0

1 year ago