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21.04.2020 •
Mathematics
2) The results of a 2012 Pew Foundation survey of high school and middle school teachers is given in the pie chart. A student asked a random sample of teachers in 2018 and found 165 had smart-phones, 80 had a cell phone other than smart-phones, and 5 had no cell phone. Is there a difference in the distribution of types of cell phones for the teachers in 2018 at a 5% level of significance?
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Ответ:
The calculated value z = 9.4451 > 1.96 at 5% level of significance.
Null hypothesis is rejected at 5% level of significance
yes there is difference in the distribution of types of cell phones for the teachers in 2018 at a 5% level of significance
Step-by-step explanation:
Explanation:-
Step:- (1)
The results of a 2012 Pew Foundation survey of high school and middle school teachers is given in the pie chart.
A student asked a random sample of teachers in 2018 and found 165 had smart-phones, 80 had a cell phone
The first sample proportion
A student asked a random sample of teachers in 2018 and found 165 had smart-phones,5 had no cell phone
The second sample proportion
Step :-(ii)
Null hypothesis :H₀: Assume that there is no difference in the distribution of types of cell phones for the teachers in 2018
H₀ : p₁ = p₂
Alternative hypothesis :H₁
H₁ : p₁ ≠ p₂
Level of significance : ∝=0.05
The tabulated value z=1.96
Step:-(iii)
The test statistic
where![p = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} + n_{2} }](/tpl/images/0616/0843/ab88f.png)
q = 1-p
In given data n₁ = n₂ = n
on calculation , we get p = 0.2655
q =1-p = 1-0.2655
q = 0.7345
Z = 9.4451
The calculated value z = 9.4451 > 1.96 at 5% level of significance.
Conclusion:-
Null hypothesis is rejected at 5% level of significance
yes there is difference in the distribution of types of cell phones for the teachers in 2018 at a 5% level of significance
Ответ:
Hazelwood v. Kuhlmeier
Explanation: