A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than 0,4 minutes. A random sample of 24 waiting times has a standard deviation of 0.6 minutes. At oa 0.05, is there enough evidence to reject the spokesperson's claim? Assume the population normally distributed. Complete parts (a) through (e) below. E Click the icon to view the Chi-Square Distribution Table. (a) Write the claim mathematically and identify Ho and Ha. O A. Ho:as0.4 (Claim); Ha >0.4 O B. Ho:o<0.4 (Claim); H, 20.4 OC. Ho a=0.4; Ho # 0.4 (Claim) O D. Ho:oz0.4; H,io <0.4 (Claim) (b) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Choose the correct graph below. O A. OB. Oc. OD. (c) Find the standardized test statistic for the y2-test. y2 = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. The standardized test statistic is not in the rejection region. O B. Reject Ho. The standardized test statistic is in the rejection region. OC. Fail to reject Hn. The standardized test statistic is not in the rejection region. O D. Fail to reject Ho. The standardized test statistic is in the rejection region. (e) Interpret the decision in the context of the original claim. Is there enough evidence to reject the spokesperson's claim at the 5% level of significance? O A. Since the null hypothesis is not rejected, there is not enough evidence to reject the spokesperson's claim. O B. Since the null hypothesis is rejected, there is not enough evidence to reject the spokesperson's claim. O C. Since the null hypothesis is rejected, there is enough evidence to reject the spokesperson's claim. O D. Since the null hypothesis is not rejected, there s enough evidence to reject the spokesperson's claim.

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A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than 0.4 minutes. A
random sample of 24 waiting times has a standard deviation of 0.6 minutes. At o 0.05, is there enough evidence to reject the spokesperson's claim? Assume the
population
normally distributed. Complete parts (a) through (e) below.
E Click the icon to view the Chi-Square Distribution Table.
(a) Write the claim mathematically and identify Ho and H.
O A. Ho:os0.4 (Claim); Ho >0.4
O B. Ho:o<0.4 (Claim); H 20.4
OC. Hoio = 0.4; Haio # 0.4 (Claim)
O D. Ho:oz0.4; H,io < 0,4 (Claim)
(b) Find the critical value(s).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Choose the correct graph below.
O A.
OB.
Oc.
OD.
(c) Find the standardized test statistic for the y2-test.
y2 = (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Reject Ho. The standardized test statistic is not in the rejection region.
O B. Reject Ho. The standardized test statistic is in the rejection region.
OC. Fail to reject Hn. The standardized test statistic is not in the rejection region.
O D. Fail to reject Ho. The standardized test statistic is in the rejection region.
(e) Interpret the decision in the context of the original claim.
Is there enough evidence to reject the spokesperson's claim at the 5% level of significance?
O A. Since the null hypothesis is not rejected, there is not enough evidence to reject the spokesperson's claim.
O B. Since the null hypothesis is rejected, there is not enough evidence to reject the spokesperson's claim.
O C. Since the null hypothesis is rejected, there is enough evidence to reject the spokesperson's claim.
O D. Since the null hypothesis is not rejected, there
s enough evidence to reject the spokesperson's claim.
Transcribed Image Text:A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than 0.4 minutes. A random sample of 24 waiting times has a standard deviation of 0.6 minutes. At o 0.05, is there enough evidence to reject the spokesperson's claim? Assume the population normally distributed. Complete parts (a) through (e) below. E Click the icon to view the Chi-Square Distribution Table. (a) Write the claim mathematically and identify Ho and H. O A. Ho:os0.4 (Claim); Ho >0.4 O B. Ho:o<0.4 (Claim); H 20.4 OC. Hoio = 0.4; Haio # 0.4 (Claim) O D. Ho:oz0.4; H,io < 0,4 (Claim) (b) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Choose the correct graph below. O A. OB. Oc. OD. (c) Find the standardized test statistic for the y2-test. y2 = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. The standardized test statistic is not in the rejection region. O B. Reject Ho. The standardized test statistic is in the rejection region. OC. Fail to reject Hn. The standardized test statistic is not in the rejection region. O D. Fail to reject Ho. The standardized test statistic is in the rejection region. (e) Interpret the decision in the context of the original claim. Is there enough evidence to reject the spokesperson's claim at the 5% level of significance? O A. Since the null hypothesis is not rejected, there is not enough evidence to reject the spokesperson's claim. O B. Since the null hypothesis is rejected, there is not enough evidence to reject the spokesperson's claim. O C. Since the null hypothesis is rejected, there is enough evidence to reject the spokesperson's claim. O D. Since the null hypothesis is not rejected, there s enough evidence to reject the spokesperson's claim.
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