Jaden Easton

2020-12-07

Would you rather spend more federal taxes on art? Of a random sample of

a) State the null and alternate hypotheses.

b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The standard normal. We assume the population distributions are approximately normal. The Student's t. We assume the population distributions are approximately normal.

c)What is the value of the sample test statistic? (Test the difference

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

e) 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 alpha? At the

f) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters.

SkladanH

Skilled2020-12-08Added 80 answers

Part a

State the hypotheses. Let

That is, there is evidence to conclude that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters.

Answer: Option 2

Part b

Determine the assumptions that required for two sample proportions: Conditions for using the z - procedure for the difference between two proportions: The data collected for the samples must be selected randomly. Each sample must contain at least 10 success, that is

Condition 1:

Condition 2:

Moreover the two samples are randomly selected and are independent to each other. Since, all the conditions have been satisfied the listed assumptions are turned to be realistic The standard normal. We assume the population distributions are approximately normal.

Answer: The standard normal. We assume the population distributions are approximately normal.

Part c

Obtain the value of the test statistic. The value of test statistic is obtained below: The value of sample proportion 1,

The value of sample proportion 2,

The value of hat p is,

The required value of test statistic is,

Thus, the value of test statistic is 0.30.

Part d

Obtain the P-value. Use Excel to obtain the probability value for

Part e

The conclusion is obtained as shown below: Use the level of significance is 0.05. The p-value is greater than level of significance. That is: p-value

Answer: Option 3

Part f

Final conclusion: Fail to reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters.

Correct Answer: Option 3

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