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3 years ago

If the square of a positive integer is added to four times to integer the result is 117 find the integer.

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Answer:

x = -2 ± 452i

Step-by-step explanation:

x² + 4x = 117

x² + 4x - 117 = 0

if you solve this quadratic by using the quadratic formula you get:

x = -2 ± 452i

452i is an imaginary number that equals $\sqrt{-452}$

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Can you help me find the test statistic AND Pvalue for a hypothesis test. The question is: In a survey respondents were asked wo

vitfil [10]

Answer:

Test statistic z=0.65

P-value=0.52

Fail to reject the null hypothesis.

Step-by-step explanation:

Here we have to perform a hypothesis test on the difference of proportions. We may want to answer if there is significant difference in the proportions of male and females.

The null and alternative hypothesis are:

$H_0: \pi_1=\pi_2\\\\H_1: \pi_1\neq\pi_2$

The significance level is defined as 0.05.

The YES proportion for females is:

$p_1=33/98=0.337$

The YES proportion for males is:

$p_2=30/102=0.294$

The weighted average of p can be calculated as:

$p=\frac{n_1*p_1+n_2*p_2}{n_1+n_2}=\frac{33+30}{98+102}=0.315$

With this p, we estimate the standard deviation

$s=\sqrt{\frac{p(1-p)}{n_1}+\frac{p(1-p)}{n_2} }=\sqrt{\frac{0.315(1-0.315)}{98}+\frac{0.315(1-0.315)}{102} }=0.066$

The test statistic z can be calculated as:

$z=\frac{p_1-p_2}{s} =\frac{0.337-0.294}{0.066}=\frac{0.043}{0.066}=0.65$

We can calculate the p-value for z, taking into account is a two-sided test

$P(|z|>0.65)=0.52$

The P-value (0.52) is greater than the significance level (0.05), so the effect is not significant. It failed to reject the null hypothesis.

We have enough evidence to conclude that the proportions that vote YES are different between genres.

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3 years ago

Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05

Lina20 [59]

Answer:

Explained below.

Step-by-step explanation:

A statistical hypothesis test is being performed to determine whether there was a significant difference in the type of primary residence (home vs. student housing) for abused versus non abused college aged women.

The hypothesis can be defined as:

H₀: There is no difference in the type of primary residence or abused versus non abused college aged women.

Hₐ: There is a significant difference in the type of primary residence or abused versus non abused college aged women.

The significance level of the test is:

α = 0.05

The computed p-value is:

p-value = 0.35

p-value = 0.35 > α = 0.05

The null hypothesis will not be rejected.

The p-value is inversely related to the sample size of the test.

That is, larger the sample size smaller is the p-value and smaller the sample size larger is the p-value.

A p-value of 0.35 is very large and unusual. This can happen because of the inadequate sample size selected.

As the p-value indicates an unusual result, it can be said that an error has been made while concluding that the null hypothesis is true, when in fact it is not.

This type of error is known as the type II error.

The correct decision should be:

There is a statistically significant difference in the type of primary residence for abused vs. non-abused college aged women.

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3 years ago

If the square of a positive integer is added to four times to integer the result is 117 find the integer￼.

If the square of a positive integer is added to four times to integer the result is 117 find the integer.