In: Statistics and Probability
A nationwide sample of influential Liberals and Conservatives was asked as a part of a comprehensive survey whether they favoured lowering environmental standards so that high-sulphur coal could be burned in coal-fired power plants. The results were:
Liberals | Conservatives | |
Number sampled | 634 | 329 |
Number in favour | 90 | 65 |
At the 0.01 level of significance, can we conclude that there is a larger proportion of Conservatives in favour of lowering the standards? Calculate and interpret the p-value.
a. State the decision rule. (Round the final answer to 3 decimal places.)
H0 is rejected if z click to select (is more, is less) than _____
b. Compute the pooled proportion. (Round the final answer to 4 decimal places.)
Pooled proportion _______
c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)
Value of test statistic ________
d. What is your decision regarding the null hypothesis?
Decision click to select (reject, do not reject)
e. Calculate the p-value. (Round the z-value to 2 decimal places. Round the final answer to 4 decimal places.)
p-value is: _______
*please give an answer to all bold and underlined areas*