A random sample of n1 = 286 voters registered in the state of California showed that...

A random sample of n₁ = 286 voters registered in the state of California showed that 140 voted in the last general election. A random sample of n₂ = 221 registered voters in the state of Colorado showed that 126 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance.

What is the level of significance?

State the null and alternate hypotheses.

(b) What sampling distribution will you use? What assumptions are you making?

What is the value of the sample test statistic? (Test the difference p₁ − p₂. Do not use rounded values. Round your final answer to two decimal places.)

(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Sketch the sampling distribution and show the area corresponding to the P-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

(e) Interpret your conclusion in the context of the application.

Expert Solution

orchestra answered 2 years ago

A random sample of n1 = 290 voters registered in the state of California showed that...

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A random sample of n1 = 297 voters registered in the state of California showed that...

A random sample of n1 = 297 voters registered in the state of California showed that 144 voted in the last general election. A random sample of n2 = 216 registered voters in the state of Colorado showed that 130 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance. (a) What is the level of significance? State...

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