A sample of 120 observations indicated that X1 is 77. A second sample of 153 observations...

A sample of 120 observations indicated that X₁ is 77. A second sample of 153 observations indicated that X₂ is 89. Conduct a z-test of hypothesis about a difference in population proportions using a 0.05 significance level.

H₀: p₁ - p₂ = 0
H₁: p₁ - p₂ ≠ 0

a)

State the decision rule.

	Reject H₀ in favour of H₁ if the computed value of the statistic is between -1.96 and 1.96.
	Reject H₀ in favour of H₁ if the computed value of the statistic is less than 1.96.
	Reject H₀ in favour of H₁ if the computed value of the statistic is greater than 1.96.
	Reject H₀ in favour of H₁ if the computed value of the statistic is less than -1.64 or greater than 1.64.
	Reject H₀ in favour of H₁ if the computed value of the statistic is between -1.64 and 1.64.
	Reject H₀ in favour of H₁ if the computed value of the statistic is less than -1.96 or greater than 1.96.
	None of the above.

b) Compute the pooled proportion.
For full marks your answer should be accurate to at least four decimal places.

Pooled proportion: 0

c) What is the value of the test statistic?
For full marks your answer should be accurate to at least three decimal places.

Test statistic: 0

d)

What is your decision regarding H₀?

	There is sufficient evidence, at the given significance level, to reject H₀, and accept H₁ or at least there is not enough evidence to reject H₁.
	There is insufficient evidence, at the given significance level, to reject H₀.
	There is insufficient evidence to reject or not reject the null hypothesis.

Expert Solution

Rahul Sunny answered 2 years ago

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