Suppose a poll of 250 randomly selected voters in a city found that 140 of them favored increased funding for public libraries. Based on this poll, could we conclude that a majority of voters in this city (more than 50%) favor increased funding for public libraries? Use a significance level of 0.01.

a) State the null and alternative hypothesis:
b) What is the sample proportion? Use correct notation.
c) Find and Interpret the test statistic. Be clear and show work.
d) Find the probability (p-value) and include an appropriate sketch. Interpret the p-value.
e) Use calculator here to find test statistic and p-value. Indicate the steps you do on calculator.
f) State your decision.
g) State your conclusion in terms of the problem situation.