Use a model to divide 2

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste

Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, $n_1 = 46$

Sample size of group 2, $n_2 = 57$

Number of Yes in group 1, $X_1 = 32$

Number of Yes in group 2, $X_2 = 47$

Proportion of Yes in group 1:

$\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957$

Proportion of Yes in group 2:

$\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246$

Null Hypothesis, $H_0: p_1 = p_2$

Alternate Hypothesis, $H_a: p_1 \neq p_2$

$\hat{p} = \frac{X_1 + X_2}{n_1 + n_2} \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767$

Significance level,

Calculate the test statistic

$z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1} + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54$

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0

3 years ago

What is a good source to train numerical reasoning?

LenKa [72]

Numerical reasoning tests are often done to assess a person's ability to solve or interpret numerical data. A good source to train numerical reasoning is the use of computer education software's that deals with numerical data, the use of textbooks, self test etc.

<h3>What is done in Numerical reasoning tests?</h3>

Here, an individual is often required to analyze numerical data and then they are expected to draw conclusions from the data, which is often presented in tabular or graphical forms.

A person can improve their numerical reasoning by;

Constant Practice

Do make a study schedule and keep to it.
Do Practice as if you are going for a competition, etc.

A way that a person can improve their speed in an numerical test is to reduce the time it takes a person to take in the information that is shown in the numerical reasoning questions.

Learn more about numerical reasoning from

brainly.com/question/251701

6 0

2 years ago

A box shaped figure like a rectangular prism has a length of 8 inches and a width of 8 inches its volume is 512 cubic inches. wh

tamaranim1 [39]

Answer

A 64

Step-by-step explanation:

you first multiply 8 times 8 .witch i got 64 so the height is 64

4 0

3 years ago