A sports league performs a hypothesis test at the 0.10 level of significance to determine it the proportion, p, of all times a certain referee's coin comes up heads when fipped is diferent from 50%. Here are the nul hypothesis H and the alternative hypothesis H, for the test. 00 H p-05 (a) The result of the league's hypothesis test will be to either reject or not reject the null hypothesis, H Based on whether H is in fect true or is in fact false, fl in the table below to indicate whether the result of the test is correct, a Type i error, or a Type error. ", n true ", falee Reject , (Cheose one) (Choose one) \ De not reject H, (Choose one) (Cheose one) (b) The league takes a random sample and determines it is appropriate to use a Z test. The value of the test statistic is-1.325 (reunded to tree decimal places) Draw the appropriate figure for the test Cushe Standard Normal Distribution Sep Select ane taled or twoted O Oted O Tee taled Step 2 Enter the teat otatc (Reund to aces) SeShadee eresented by Step ter the p (Raund to 1 decmal piaces) (e) What is the resut of the league's hypothesis test? The null hypothesis is rejected. O The nul hypothesis is not rejected. (d) If the true proportion of all times the referee's coin comes up heads when flipped is 50%, is the result from part (c) correct? O The result is correct. The result is incorrect. This is a Type i eror. The result is incorrect. This is a Type il error.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 81E: The following description of the classic Linda Problem appeared in the New Yorker. In this...
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A sports league performs a hypothesis test at the 0,10 level of significance to determine if the proportion, p, of all times a certain referee's coin comes up heads
when flipped is different from 50%. Here are the null hypothesis Hg and the alternative hypothesis H, for the test.
Hạ p-0.5
00
Hi p+0,5
(a) The resuit of the league's hypothesis test will be to either reject or not reject the null hypothesis, H Based on whether H is in fact true or is in fact
false, fil in the table below to indicate whether the result of the test is correct, a Type i error, or a Type il error.
H, is true
H, is talse
Reject H,
(Choose one)
(Choose one)
Do not reject H. (Choose one)
(Choose one)
(b) The league takes a random sample and determines it is appropriate to use a Z test. The value of the test statistic is 1.325 (rounded to three
decimal places). Draw the appropriate figure for the test.
Chostel
Standard Normal Distribution
Sep 1: Select ane-taled toted
O One-taed
O Twe taled
Sep 2 tnter the test stat
(Round tdecmal places)
Sep 3 Shade e epresented by
the vale
Steo 4 Enter the vale
(Round to 3 decmal piaces)
?
(c) What is the result of the league's hypothesis test?
The null hypothesis is rejected.
O The nul hypothesis is not rejected.
(d) If the true proportion of all times the referee's coin comes up heads when flipped is 50%, is the result from part (c)
correct?
The result is correct.
The result is incorrect. This is a Type i eror.
The result is incorrect. This is a Type il error.
Transcribed Image Text:A sports league performs a hypothesis test at the 0,10 level of significance to determine if the proportion, p, of all times a certain referee's coin comes up heads when flipped is different from 50%. Here are the null hypothesis Hg and the alternative hypothesis H, for the test. Hạ p-0.5 00 Hi p+0,5 (a) The resuit of the league's hypothesis test will be to either reject or not reject the null hypothesis, H Based on whether H is in fact true or is in fact false, fil in the table below to indicate whether the result of the test is correct, a Type i error, or a Type il error. H, is true H, is talse Reject H, (Choose one) (Choose one) Do not reject H. (Choose one) (Choose one) (b) The league takes a random sample and determines it is appropriate to use a Z test. The value of the test statistic is 1.325 (rounded to three decimal places). Draw the appropriate figure for the test. Chostel Standard Normal Distribution Sep 1: Select ane-taled toted O One-taed O Twe taled Sep 2 tnter the test stat (Round tdecmal places) Sep 3 Shade e epresented by the vale Steo 4 Enter the vale (Round to 3 decmal piaces) ? (c) What is the result of the league's hypothesis test? The null hypothesis is rejected. O The nul hypothesis is not rejected. (d) If the true proportion of all times the referee's coin comes up heads when flipped is 50%, is the result from part (c) correct? The result is correct. The result is incorrect. This is a Type i eror. The result is incorrect. This is a Type il error.
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