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A polling organization conducted a statewide survey concerning the race for governor. In a random phone...

A polling organization conducted a statewide survey concerning the race for governor. In a random phone number survey, 400 registered voters responded. It was found that 230 would vote for the Democratic candidate. Let p represent the proportion of registered voters in the state that would vote for the Democratic candidate. Assume the sample of respondents is equivalent to a random sample from the population of registered voters in the state.

1. Calculate the standard error for the estimate of ?p.

2. We wish to test the null hypothesis ?0:?=0.5H0:p=0.5 against the alternative ??:?≠0.5HA:p≠0.5. Based on the poll results, calculate the p-value of a large sample z-test of ?0H0.

3. The odds of an event is the ratio of the probability that the event occurs to the probability of that the event does not occur. Using your results above, compute an estimate of the odds that a randomly chosen registered voter would vote for the Democrative candidate.

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