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 | 675 | 213 |
Number in favour | 49 | 28 |
At the 0.05 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 (select one) is less or is more 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 (select one) Do not reject or 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:
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