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Answer:
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
<em>There is a difference between the two Population proportions</em>
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given first sample size (n₁) = 50
Given proportion of the first sample p⁻₁= 0.2
Given second sample size (n₂) = 50
Given proportion of the second sample p₂⁻ = 30/50 = 0.6
<em>Null Hypothesis : H₀: p₁⁻=p₂⁻</em>
<em>Alternative Hypothesis : H₁: p₁⁻≠p₂⁻</em>
<u><em>Step(ii):-</em></u>
Z-statistic
Where
<em>Z-statistic</em>
Z = -4.089
Level of significance =0.10
Z₀.₁₀ = 1.645
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
<u><em>Final answer</em></u>:-
<em>There is a difference between the two Population proportions</em>