(a) What is the level of significance? 10 State the null and alternate hypothese

Question

(a) What is the level of significance? 10 State the null and alternate hypotheses. Ho: p 0.7; H1: p 0.7 Ho: p 7; H1: p 0.7 Ho: p t 0.7; H1: p 0.7 O Ho: p 7; H1: p 0.7 Ho: p 7; H1: p 0.7 (b) What sampling distribution will you use? The standard normal, since np 5 and nq 5. O The standard normal, since np 5 and na 5. The Student's t, since np 5 and nq 5. The Student's t, since np 5 and nq 5. What is the value of the sample test statistic? (Round your answer to two decimal places. (c) Find the P-value of the test statistic. (Round your answer to four decimal places

Explanation / Answer

The value of the sample test statistic is .92 and the P-value of the test statistic is .3576. You can use the formula for z where:

p=.7

q=1-p=.3

n=35

sample p = 27/35=.7714

Now since the P-value is greater than a, we fail to reject the null hypothesis. So the answer to (d) would be "At the a=0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant."

For (e), the answer would be "There is insufficient evidence at the 0.10 level to conclude that the true proportion of arrests of males aged 14 to 34 in Rock Springs differs from 70%."

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