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In: Statistics and Probability

A nationwide sample of influential Liberals and Conservatives was asked as a part of a comprehensive...

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*

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