Answer:
There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the population proportion.
Proportion in the null hypothesis (p0) = 0.2
Sample size (n) = 75
Sample proportion (sp) = 24/75 = 0.32
Significance level = 0.01
H0: p = 0.2
Ha: p
0.2
Test statistic = (sp - p0) / sqrt ((p0) (1-p0) / n)
Left critical Z value (for 0.01) = -2.5758
Right critical Z value (for 0.01) = 2.5758
Calculated statistic = (0.32 - 0.2) / sqrt ((0.32) (1-0.32) / 75) = 2.2278
Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.
Answer:
Step-by-step explanation:
I find it easiest to write the equations in standard form, as above. You just need to pick numbers for the x- and y-coefficients, then see what the left-side evaluates to. I wanted the x-coefficients to be different, and one of the y-coefficients to be negative. (The x-coefficients need to be positive when the equation is written in <em>standard form</em>.)
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<em>Check</em>
3 +2·5 = 3 +10 = 13 . . . first equation works
3·3 -5 = 9 -5 = 4 . . . . . second equation works
Answer:
Plot the point (3, -5)
Step-by-step explanation:
Recall that the general number a+bi can be plotted on a complex plane with the x axis as the real part and the y axis as the imaginary part.
In short,
a = real part = x
b = imaginary part = y
So (a,b) = (x,y)
In this case, a = 3 and b = -5 which is how I got (3, -5).
It might help to rewrite 3 - 5i into 3 + (-5)i
Answer:
I think the answer is 27.4617= 27
Answer:
D. y+3 = 6(x-1)
Step-by-step explanation:
i just wrote it out and i think thats the answer but not sure. hopefully this helps :)