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An article describes an experiment to determine the effectiveness of mushroom compost in removing petroleum contaminants from so

alexgriva [62]

Solution :

Let $p_1$ and $p_2$ represents the proportions of the seeds which germinate among the seeds planted in the soil containing $3\%$ and $5\%$ mushroom compost by weight respectively.

To test the null hypothesis $H_0: p_1=p_2$ against the alternate hypothesis $H_1:p_1 \neq p_2$ .

Let $\hat p_1, \hat p_2$ denotes the respective sample proportions and the $n_1, n_2$ represents the sample size respectively.

$$\hat p_1 = \frac{74}{155} = 0.477419$

$n_1=155$

$$p_2=\frac{86}{155}=0.554839$

$n_2=155$

The test statistic can be written as :

$$z=\frac{(\hat p_1 - \hat p_2)}{\sqrt{\frac{\hat p_1 \times (1-\hat p_1)}{n_1}} + \frac{\hat p_2 \times (1-\hat p_2)}{n_2}}}$

which under $H_0$ follows the standard normal distribution.

We reject $H_0$ at $0.05$ level of significance, if the P-value or if $|z_{obs}|>Z_{0.025}$

Now, the value of the test statistics = -1.368928

The critical value = $\pm 1.959964$

P-value = $P(|z|> z_{obs})= 2 \times P(z< -1.367928)$

$=2 \times 0.085667$

= 0.171335

Since the p-value > 0.05 and $|z_{obs}| \ngtr z_{critical} = 1.959964$ , so we fail to reject $H_0$ at $0.05$ level of significance.

Hence we conclude that the two population proportion are not significantly different.

Conclusion :

There is not sufficient evidence to conclude that the $\text{proportion}$ of the seeds that $\text{germinate differs}$ with the percent of the $\text{mushroom compost}$ in the soil.

8 0

3 years ago

Regression analysis involving one dependent variable and more than one independent variable is known as a. linear regression. b.

Greeley [361]

Answer:

<h3>The Option B) Multiple regression is correct</h3><h3>Regression analysis involving one dependent variable and more than one independent variable is known as <u>multiple regression.</u></h3>

Step-by-step explanation:

Given that regression analysis involving one dependent variable and more than one independent variable

For : Regression analysis involving one dependent variable and more than one independent variable is known as <u>multiple regression</u>

In statistics, a linear regression is a linear relationship between a dependent variable and one or more independent variables.

In statistics for more than one independent variable and with one dependent variable in regression analysis , then the regression is called as multiple regression.

Therefore Option B) Multiple regression is correct

<h3>Regression analysis involving one dependent variable and more than one independent variable is known as <u>multiple regression</u>.</h3>

7 0

3 years ago

A one-litre milk carton is one quarter full. How much milk is left in the carton?

zheka24 [161]

Answer:

.25 of a liter

Step-by-step explanation:

.2614 of a qt

.53 of a pint

7 0

2 years ago

How many square centimetres are in 0.0075 square metres

lidiya [134]

Answer:

75 square centimeters

Step-by-step explanation:

Multiply by 10,000

Can you make me brainliest it would help a lot!

4 0

3 years ago

Read 2 more answers

What is the mode of the data set 5,7,8,10,12,12

nekit [7.7K]

Answer:

The mode is twelve.

Step-by-step explanation:

The mode of a data set is the number that appears the most often. I've added an attachment so that you might be able to see some examples.

6 0

3 years ago