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Consider the following null and alternative hypothesis.
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So the null hypothesis is that p is equal to 0 .84.
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The alternative is that p is not equal to 0 .84.
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We have a random sample of 500 observations and a p hat or a sample proportion of 0 .86.
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If this test is made at the 0 .10 or 10 % significance level, would you reject the null hypothesis? so using the critical value approach, our z test statistic is going to be 0 .8.
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Minus 0 .84 divided by the square root of 0 .84 times 0 .16, which is 1 minus 0 .84, divided by 500.
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And that gives us a test statistic of 1 .22.
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Now, the critical value for the left is going to be negative 1 .645, and the critical value for the right is going to be positive 1 .645.
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And that's based off of the fact that this is a z test and what our l .5.
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Is.
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So because if z is less than negative 1 .645, we would reject, or if z is greater than 1 .645, we would reject...