A sample of 500 observations taken from the first population gave x₁ =305 Another sample of 600 observations taken from the second population gave x₂ = 348 a) Find the point estimator of P₁-P₂. b) Make a 97% confidence interval for P₁-P2. c) Show the rejection and non-rejection regions on the sampling distribution of P₁-P₂ for HP-P: versus H₁ PP. Use significance level of 25%. d) Find the value of the test statistic z of the test part (c). e) Will you reject the null hypothesis mentioned in part (c) at a significance level of 2.5%?

MATLAB: An Introduction with Applications
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A sample of 500 observations taken from the first population gave x₁ = 305 Another
sample of 600 observations taken from the second population gave x₂ = 348
a) Find the point estimator of P₁-P₂.
b) Make a 97% confidence interval for P₁-P₂.
c) Show the rejection and non-rejection regions on the sampling distribution of P₁-P₂
for HP-P: versus HP>P: Use significance level of 25%.
d) Find the value of the test statistic z of the test part (c).
e) Will you reject the null hypothesis mentioned in part (c) at a significance level of
2.5%?
Transcribed Image Text:A sample of 500 observations taken from the first population gave x₁ = 305 Another sample of 600 observations taken from the second population gave x₂ = 348 a) Find the point estimator of P₁-P₂. b) Make a 97% confidence interval for P₁-P₂. c) Show the rejection and non-rejection regions on the sampling distribution of P₁-P₂ for HP-P: versus HP>P: Use significance level of 25%. d) Find the value of the test statistic z of the test part (c). e) Will you reject the null hypothesis mentioned in part (c) at a significance level of 2.5%?
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