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Mathematics

1 answer:

Lapatulllka [165]3 years ago

3 0

The table is proportional, cause there all plus four.
-2 + 4 = 2
0 + 4 = 4
2 + 4 = 6
4 + 4 = 8

Hope it helps

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In a new experimental teaching method, when students have questions in class, they send them to the instructor via a laptop comp

Anna007 [38]

Answer:

a) (0.124, 0.435)

b) I am 95% confident that the proportion difference is between 0.124 and 0.435

Step-by-step explanation:

Given that:

For male students: number of male students ( $n_m$ ) = 69, number who liked the new method (x) = 38

For female students: number of female students ( $n_f$ ) = 73, number who liked the new method (x) = 20

a) The probability that a male student like the new method ( $P_1$ ) is given as:

$P_1=\frac{38}{69} =0.55$

The probability that a female student like the new method ( $P_2$ ) is given as:

$P_2=\frac{20}{73} =0.27$

c = 95%, α = 1 -c = 0.05

$z_{\frac{\alpha }{2} }=1.96$

the difference between the proportions of male and female students who like the new method better = $P_1-P_2$ ± $z_{\frac{\alpha }{2} }\sqrt{\frac{P_1(1-P_1)}{n_m} +\frac{P_2(1-P_2)}{n_f}}$ = $0.55-0.27$ ± $1.96\sqrt{\frac{0.55(1-0.55)}{69} +\frac{0.27(1-0.27)}{73}}$ = (0.124, 0.435)