Anna rakes 10 bags of

A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does

mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

$H_0: p = 0.5$

At the alternative hypotheses, we test if it does not equal, hence:

$H_1: p \neq 0.5$

<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.

For this problem, the parameters are given by:

$n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5$

Hence the test statistic is given by:

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

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

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

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

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5 0

1 year ago

Domain and, range in interval notation

Bas_tet [7]

Domain: [-4,4] (left-to-right or x-values used)

Range: [-4,4] (down-to-up or y-values used)

Function: no

4 0

2 years ago

Doug sold 125 sandwiches to raise money for his boy scout troop. 80% of those sandwiches were sold in his neighborhood. How many

grigory [225]

Answer:

Doug sold 100 sandwiches in his neighborhood.

Step-by-step explanation:

To solve for percentage you have to first find the percentage's decimal. To find this you have to the move the decimal point up to places. This makes 80 into 0.8. After you do this you will mutiply that but the total amount. So 125 times 0.8. Once you do this you should get 100. This means that Doug sold 100 sandwiches in his neighborhood.

4 0

3 years ago

ellen has a coupon for 1.55 off a loaf of bread. the regular price of the bread is 4.63. the loaf is cut into 14 slices. what is

AlexFokin [52]

Answer:

$0.22

Step-by-step explanation:

Ellen has a coupon of 1.55 off a loaf of bread

The regular price of the bread is 4.63, the loaf is cut into 14 slices

Therefore if she uses her coupon the price per slice can be calculated as follows

= 4.63-1.55

= 3.08

3.08/14

= 0.22

Hence the price is $0.22

3 0

3 years ago

Jared creates a number sequence that has a first term of 2 and a second of term of 5. Each term after the second is created by s

dexar [7]

The rule for the sequence is S(n) = 2S(n-1) - S(n-2)

Alternative form: S(n) = S(n-1) + 3

Step-by-step explanation:

In this problem, we know the first two terms of the sequence:

S(1) = 2

S(2) = 5

We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:

S(n) the current term

S(n-1) the previous term

S(n-2) the term before the previous term

This statement translates into the following sequence:

S(n) = 2S(n-1) - S(n-2)

Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).

We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):

$S(3) = 2S(2) - S(1) = 2(5)-2=10-2 = 8$