Mathematics, 02.07.2020 14:01 cyndiann2002

In a study of 905 randomly selected children aged 15-17, 198 say they watch 3 or more hours of television per day. In a study of 503 randomly selected children aged 12-14, 97 reported they watch 3 or more hours of television per day. Is there a significant difference between age and watching television in teenagers

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Answer from: yairreyes01

The calculated value Z = 0.063< 1.96 at 5% level of significance

Null hypothesis is accepted

There is no significant difference between age and watching television in teenagers

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 905

Given data 198 say they watch 3 or more hours of television per day.

Given random first sample size

n₁ = 905

First sample proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{198}{905} = 0.2187$

Given random second sample size

n₂ = 503

second sample proportion

$p_{2} = \frac{x_{2} }{n_{1} } = \frac{97}{503} = 0.1928$

Step(ii):-

Null Hypothesis : H₀

There is no significant difference between age and watching television in teenagers

Alternative Hypothesis :H₁

There is significant difference between age and watching television in teenagers

Step(iii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } }) }$

Where

$P = \frac{n_{1}p_{1} + n_{2} p_{2} }{n_{1}+n_{2} }$

$P = \frac{905 X0.2187 + 503 X0.1928 }{905+503 }$

P = 0.2094

Q = 1 - 0.2094 = 0.7906

$Z = \frac{0.2187-0.1928}{\sqrt{0.2094 X0.7906(\frac{1}{905} +\frac{1}{503} } )}$

on calculation , we get

Z = 0.063

The critical value Z₀.₀₅ = 1.96

The calculated value Z = 0.063< 1.96 at 5% level of significance

Conclusion:-

Null hypothesis is accepted

There is no significant difference between age and watching television in teenagers

Answer from: Quest

answer: $\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

$\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

which is the required equation for finding the value of x,

$\frac{x}{sin40^{\circ}}= \frac{12}{sin60^{\circ}}$

$x= 12\times \frac{sin40^{\circ}}{sin60^{\circ}}$

$x= 12\times 0.74222719896$

$x= 8.90672638762\approx 8.967$

Answer from: Quest

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

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In a study of 905 randomly selected children aged 15-17, 198 say they watch 3 or more hours of telev...