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
H_a: 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?