In the sample, p = 158/300 = 0.527. The resulting P-value is 0.18. What is the correct
Question:
In the sample, p̂ = 158/300 = 0.527. The resulting P-value is 0.18. What is the correct interpretation of this Pvalue?
a. Only 18% of the city residents support the tax increase.
b. There is an 18% chance that the majority of residents supports the tax increase.
c. Assuming that 50% of residents support the tax increase, there is an 18% probability that the sample proportion would be 0.527 or greater by chance alone.
d. Assuming that more than 50% of residents support the tax increase, there is an 18% probability that the sample proportion would be 0.527 or greater by chance alone.
e. Assuming that 50% of residents support the tax increase, there is an 18% chance that the null hypothesis is true by chance alone.
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.
Step by Step Answer: