(5 points) The Civil War. suppose a national survey conducted among a simple ran
ID: 3367770 • Letter: #
Question
(5 points) The Civil War. suppose a national survey conducted among a simple random sample of 1530 adults shows that 56% of think the Civil War is still relevant to American politics and political life. Round all resulits to four decimal places 1. What are the correct hypotheses for conducting a hypothesis test to determine if these data provide strong evidence that the majority o Americans think the Civil War is still relevant. B. Ho : p = 0.5, HA , p 0.5 2. Calculate the test statistic for this hypothesis test.? 3. Calculate the p-value for this hypothesis test. 4. What is your conclusion using a -0.012 A. Do not reject Ho B. Reject HoExplanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P < 0.50
Alternative hypothesis: P > 0.50
Note that these hypotheses constitute a one-tailed test.
Formulate an analysis plan. For this analysis, the significance level is 0.01. The test method, shown in the next section, is a one-sample z-test.
Analyze sample data. Using sample data, we calculate the standard deviation (S.D) and compute the z-score test statistic (z).
S.D = sqrt[ P * ( 1 - P ) / n ]
S.D = 0.01278
z = (p - P) / S.D
z = 4.69
where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.
Since we have a one-tailed test, the P-value is the probability that the z-score is greater than 4.69.
Thus, the P-value = less than 0.0001.
Interpret results. Since the P-value (almost 0) is less than the significance level (0.01), we cannot accept the null hypothesis.
B) Reject H0.
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