Of a random sample of 187 auditors, 73 indicated some measure of agreement with the statement "Cash flow is an important indication of profitability." Test at the 1% significance level against a two-sided alternative hypothesis the null hypothesis that one-half of the members of this population would agree with this statement. Also find and interpret the p-value of this test.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Of a random sample of 187 auditors, 73 indicated some measure of agreement with the statement "Cash flow is an important indication of profitability." Test at the 1% significance level against a
two-sided alternative hypothesis the null hypothesis that one-half of the members of this population would agree with this statement. Also find and interpret the p-value of this test.
O A. Reject H, It
-Za/2 or reject H, It
> Za/2
Po(1-Po) 'n
Po(1 -Po) In
p-Po
O B. Reject H, if
< -Z,
Po(1-Po) In
p-Po
O C. Reject H, if
>Z,
Po(1-Po) In
Determine the value(s) of - zg, Za, or tzu/2 as appropriate for this test.
2.58, - 2.58
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Calculate the test statistic.
p-Po
= - 3.00 (Round to two decimal places as needed.)
Po (1-Po) In
State the conclusion of this test.
Reject
the null hypothesis. It is not likely that one-half of the members of the population would agree with the statement.
What is the p-value of this test?
The p-value is
(Round to three decimal places as needed.)
Transcribed Image Text:Of a random sample of 187 auditors, 73 indicated some measure of agreement with the statement "Cash flow is an important indication of profitability." Test at the 1% significance level against a two-sided alternative hypothesis the null hypothesis that one-half of the members of this population would agree with this statement. Also find and interpret the p-value of this test. O A. Reject H, It -Za/2 or reject H, It > Za/2 Po(1-Po) 'n Po(1 -Po) In p-Po O B. Reject H, if < -Z, Po(1-Po) In p-Po O C. Reject H, if >Z, Po(1-Po) In Determine the value(s) of - zg, Za, or tzu/2 as appropriate for this test. 2.58, - 2.58 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Calculate the test statistic. p-Po = - 3.00 (Round to two decimal places as needed.) Po (1-Po) In State the conclusion of this test. Reject the null hypothesis. It is not likely that one-half of the members of the population would agree with the statement. What is the p-value of this test? The p-value is (Round to three decimal places as needed.)
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