Question

In: Statistics and Probability

A sample of 103 observations indicated that X1 is 93. A second sample of 155 observations...

A sample of 103 observations indicated that X₁ is 93. A second sample of 155 observations indicated that X₂ is 82. Conduct a z-test of hypothesis about a difference in population proportions using a 0.02 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 -2.33 and 2.33.
	Reject H₀ in favour of H₁ if the computed value of the statistic is less than -2.05.
	Reject H₀ in favour of H₁ if the computed value of the statistic is between -2.05 and 2.05.
	Reject H₀ in favour of H₁ if the computed value of the statistic is less than -2.05 or greater than 2.05.
	Reject H₀ in favour of H₁ if the computed value of the statistic is greater than 2.33.
	Reject H₀ in favour of H₁ if the computed value of the statistic is less than -2.33 or greater than 2.33.
	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

a) Reject H0 in favour of H1 if the computed value of the statistic is less than -2.05.

b) pooled proportion is 0.67 83

c) test statistic value is 6.2 96

d) do not reject null hypothesis.

please like ??

orchestra answered 2 years ago

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