If, in a sample of n= 25 selected from a normal population, X = 54 and S= 20, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Ho, is u= 50, and the alternative hypothesis, H,, is u#50? Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t. Determine the critical value(s). The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, tSTAT ISTAT =O (Round to four decimal places as needed.) State your statistical decision. Choose the correct answer below. O A. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50. O B. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs fromu= 50. O C. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u= 50. O D. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u= 50.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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If, in a sample of n= 25 selected from a normal population, X= 54 and S= 20, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Ho, is u= 50, and the alternative hypothesis, H,, is u# 50?
Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t.
Determine the critical value(s).
The critical value(s) is(are)
(Round to four decimal places as needed. Use a comma to separate answers as needed.)
Determine the test statistic, tSTAT:
tSTAT =O
(Round to four decimal places as needed.)
State your statistical decision. Choose the correct answer below.
O A. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50.
O B. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50.
O C. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50.
O D. The test rejects the null hypothesis. The data provide sufficient evidence
conclude that the mean differs from u = 50.
Transcribed Image Text:If, in a sample of n= 25 selected from a normal population, X= 54 and S= 20, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Ho, is u= 50, and the alternative hypothesis, H,, is u# 50? Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t. Determine the critical value(s). The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, tSTAT: tSTAT =O (Round to four decimal places as needed.) State your statistical decision. Choose the correct answer below. O A. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50. O B. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50. O C. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50. O D. The test rejects the null hypothesis. The data provide sufficient evidence conclude that the mean differs from u = 50.
Recently, a large academic medical center determined that 17 of 24 employees in a particular position were male, whereas 46% of the employees for this position in the general workforce were male. At the 0.01 level of significance, is there
evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce?
What are the correct hypotheses to test to determine if the proportion is different?
O A. Ho: S0.46; H,: z> 0.46
O B. Ho: x+0.46; H,: x = 0.46
OC. Ho: A20.46; H,: T<0.46
O D. Ho: T= 0.46; H,: T#0.46
Calculate the test statistic.
ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed,)
What is the p-value?
The p-value is.
(Type an integer or a decimal. Round to three decimal places as needed.)
State the conclusion of the test.
V the null hypothesis. There is
V evidence to conclude that the proportion of males in this position at this medical center is different from the proportion in the general workforce.
Transcribed Image Text:Recently, a large academic medical center determined that 17 of 24 employees in a particular position were male, whereas 46% of the employees for this position in the general workforce were male. At the 0.01 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce? What are the correct hypotheses to test to determine if the proportion is different? O A. Ho: S0.46; H,: z> 0.46 O B. Ho: x+0.46; H,: x = 0.46 OC. Ho: A20.46; H,: T<0.46 O D. Ho: T= 0.46; H,: T#0.46 Calculate the test statistic. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed,) What is the p-value? The p-value is. (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test. V the null hypothesis. There is V evidence to conclude that the proportion of males in this position at this medical center is different from the proportion in the general workforce.
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