(a) What is the level of significance? State the null and alternate hypotheses.

Question

(a) What is the level of significance? State the null and alternate hypotheses. Ho: p 0.77; H1: p 0.77 Ho: p 0.77; H1: p 0.77 Ho: p 0.77; H1: p 0.77 Ho: p 0.77; H1: p 0.77 (b) What sampling distribution will you use? The standard normal, since np 5 and nq 5. The Student's t, since np 5 and nq 5. The Student's t, since np 5 and nq 5. The standard normal, 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

(A) singnificance level is 0.10

Null Hypothesis and alternate hypothesis are
H0: p = 0.77
H1: p < 0.77

(B)
The sampling distribution to be used is the standard normal as np>5 and nq>5

here pcap = 34/53 = 0.6415
test statistics
z = (0.6415 - 0.77)/(sqrt(0.6415 * 0.3585/53)) = -1.95

(C)
p-value = 0.0256

(D)
As p-value is less than the significance level of 0.10, we reject the null hypothesis and conclude that data are statistically significant.

(E)
There is sufficient evidence at the 0.10 level to conclude that the true proportion of drier fatalities related to alcohol in the country is less than 0.77

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