Based on the P-value in Exercise 31, which of the following would be the most appropriate conclusion?
Question:
Based on the P-value in Exercise 31, which of the following would be the most appropriate conclusion?
a. Because the P-value is large, we reject H0. We have convincing evidence that more than 50% of city residents support the tax increase.
b. Because the P-value is large, we fail to reject H0. We have convincing evidence that more than 50% of city residents support the tax increase.
c. Because the P-value is large, we reject H0. We have convincing evidence that at most 50% of city residents support the tax increase.
d. Because the P-value is large, we fail to reject H0. We have convincing evidence that at most 50% of city residents support the tax increase.
e. Because the P-value is large, we fail to reject H0. We do not have convincing evidence that more than 50% of city residents support the tax increase.
Members of the city council want to know if a majority of city residents supports a 1% increase in the sales tax to fund road repairs. To investigate, they survey a random sample of 300 city residents and use the results to test the following hypotheses:
H0: p=0.50
Ha: p>0.50
where p is the proportion of all city residents who support a 1% increase in the sales tax to fund road repairs.
Select the best answer.
Exercise 31.
In the sample, p̂ = 158/300 = 0.527. The resulting P-value is 0.18. What is the correct interpretation of this Pvalue?
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