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For the past 8 weeks, Senator Blue has received 27% of the vote in all polls...

For the past 8 weeks, Senator Blue has received 27% of the vote in all polls for the upcoming election. In a new poll of 1200 randomly chosen likely voters, 288 said they would vote for Senator Blue in the election. At α=0.1, is there enough evidence to conclude that the proportion in favor of Blue is now not equal to 27%?
What is the test statistic? Round your answer to 2 decimal places.

math   Statistics-And-Probability   
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Answer #1

null Hypothesis alternate Hypothesis: 0.2700 0.2700 Ho: Ha: for 0.1 level with two tailed test, critical value of Decision rule 1.6449 reject Ho if absolute value of test statistic z| >1.645 sample success 288 1200 sample size std error -Se (p*(1-p)/n) = 0.0128 sample proportion p 0.2400 test stat- z (p-p)/Se= 2.341

from above test statsitic z =-2.34

( please try -2.31 if above does not work due to rounding errror)

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