Question 4 HW 11 Question 4 HW 11 Question 4 HW 11 Suppose 65% of people in Geor
ID: 3314017 • Letter: Q
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Question 4 HW 11 Question 4 HW 11 Question 4 HW 11 Suppose 65% of people in Georgia support a special transportation tax. To investigate the claim, he surveys 150 people in his community and discovers that 78 people support a special transportation tax. Alejandro is not Cakculate Alejandro's sample proportion, p. Give your answer precise to two decimal places Calculate the standard error of the sample proportion, SE. Give your answer precise to three decimal places. SE = Calculate the standard error of the sample proportion estimate, SEe. Give your answer precise to three decimal places. Scroll settings are out-a A n ex06-431 (8)rda : ex06-431 (7).rda ex06.431 (6).rda date. ^ ch 246 PM 401.2/2017Explanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P = 0.65
Alternative hypothesis: P 0.65
Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample proportion is too big or if it is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. 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 () and compute the z-score test statistic (z).
= sqrt[ P * ( 1 - P ) / n ]
= 0.03894
z = (p - P) /
z = - 3.34
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 two-tailed test, the P-value is the probability that the z-score is less than - 3.34 or greater than 3.34.
Thus, the P-value = 0.0008
Interpret results. Since the P-value (0.0008) is less than the significance level (0.05), we have to reject the null hypothesis.
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