2 36 (1 This Test 36 ptspossbe sroe an instant replay system for tennis was intr

Question

2 36 (1 This Test 36 ptspossbe sroe an instant replay system for tennis was introduced at men challenged 1410 referee with Usea001 significance level to test the daim men and women have equal suooess challenging Compete parts (a) rough below that a. Test the claim using a hypothesis test Consider the frs sample to be the sample of male tennis players who challenged referee cals and second sample to be the female tennis players who chalengod oals whet reeera andateralve ldentify the test statistic, (Round to two decimal places as needed) Identify the P-value. (Round to tree decim places as needed) what is condusion based on the hypothesis test? evidencato warrant the daimthat women and null hypothesis. There signifcanoe level of a 001 so The P-value is test by constructing an approprete confidence interval The 99% confidence interval is lRoundtothree decimal places as needed cack to select your answerts

Explanation / Answer

Part-a

From following results

Z=0.14

p-value=0.890

The p-value is greater than the significance level of alpha=0.01,so do not reject the null hypothesis. There is no evidence to warrant rejection of the claim that women and men have equal scuess

Test and CI for Two Proportions

Sample    X     N Sample p

1       420 1410 0.297872

2       226   766 0.295039

Difference = p (1) - p (2)

Estimate for difference: 0.00283318

99% CI for difference: (-0.0499467, 0.0556131)

Test for difference = 0 (vs 0): Z = 0.14 P-Value = 0.890

Fisher’s exact test: P-Value = 0.922

Part-b

99% confidence interval is -0.050 <p1-p2< 0.056)

Because the confidence intevral limits includes 0, there does not appear to be a significant difference between the two proportions. There is no evidence to warrant rejection of the claim that women and men have equal scuess

Part-c

Option-B

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