Write an equation of the line in slope-intercept form.

Mathematics

1 answer:

zlopas [31]4 years ago

4 0

Answer:

C. y = 5x

find the slope

(5-0)/(1-0)

5/1 = 5

then look at the y line

the point 0 is on line y

which has no value so c is the answer

Step-by-step explanation:

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In a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested Among the men. 85 have red/gre

PtichkaEL [24]

Answer:

1. Yes, there is sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women.

2. The 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].

Step-by-step explanation:

We are given that in a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested

Among the men, 85 have red/green color blindness. Among the women, 6 have red/green color blindness.

Let $p_1$ = <em>population proportion of men having red/green color blindness.</em>

$p_2$ = <em>population proportion of women having red/green color blindness.</em>

So, Null Hypothesis, : {means that men have a lesser or equal rate of red/green color blindness than women}

Alternate Hypothesis, : {means that men have a higher rate of red/green color blindness than women}

(1) The test statistics that will be used here is Two-sample z-test statistics for proportions;

T.S. = ~

N(0,1)

where, = sample proportion of men having red/green color blindness = = 0.085

$\hat p_2$ = sample proportion of women having red/green color blindness = $\frac{6}{2800}$ = 0.002

$n_1$ = sample of men = 1000

$n_2$ = sample of women = 2800

So, <u><em>the test statistics</em></u> = $\frac{(0.085-0.002)-(0)}{\sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1-0.002)}{2800} } }$

= 9.37

The value of z-test statistics is 9.37.

Also, the P-value of the test statistics is given by;

P-value = P(Z > 9.37) = Less than 0.0001

Since the P-value of our test statistics is less than the level of significance as 0.0001 < 0.05%, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we support the claim that men have a higher rate of red/green color blindness than women.

(2) The 95% confidence interval for the difference between the color blindness rates of men and women ( $p_1-p_2$ ) is given by;

95% C.I. for ( $p_1-p_2$ ) = $(\hat p_1-\hat p_2) \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }$