Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, with the result that 413 of the calls were overturned. Women challenged 775 referee calls, and 211 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. nypotneses ror the nypotnesis test? OA. Ho: P1 P2 H: P, = P2 O B. Ho: P, SP2 H: P, #P2 OC. Ho: P = P2 H: Pq> P2 F. Họ: P1 = P2 OD. Ho: P1 = P2 OE Ho: P, 2 P2 H: P,

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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, with the result that 413 of the calls were overturned. Women challenged 775 referee calls, and 211 of the calls
were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.
nypotneses Tor tne nypotnesis test?
O B. Ho: P1 SP2
H: P1 # P2
O A. Ho: P1 P2
O C. Ho: P1 = P2
H: P1 =P2
H1: P1 > P2
YF. Ho: P1 = P2
H: P1 # P2
O D. Ho: P1 = P2
O E. Ho: P12P2
H1: P1 # P2
H1: P1 <P2
Identify the test statistic.
z= 0.75
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.4560
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is greater than the significance level of a =0.05, so fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that women and men have equal success in challenging
calls.
b. Test the claim by constructing an appropriate confidence interval.
The 95% confidence interval is< (P1 - P2) <
(Round to three decimal places as needed.)
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, with the result that 413 of the calls were overturned. Women challenged 775 referee calls, and 211 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. nypotneses Tor tne nypotnesis test? O B. Ho: P1 SP2 H: P1 # P2 O A. Ho: P1 P2 O C. Ho: P1 = P2 H: P1 =P2 H1: P1 > P2 YF. Ho: P1 = P2 H: P1 # P2 O D. Ho: P1 = P2 O E. Ho: P12P2 H1: P1 # P2 H1: P1 <P2 Identify the test statistic. z= 0.75 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.4560 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a =0.05, so fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that women and men have equal success in challenging calls. b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is< (P1 - P2) < (Round to three decimal places as needed.)
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