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Nancy, a golfer, claims that her average driving distance is 253 yards. During a practice session,...

Nancy, a golfer, claims that her average driving distance is 253 yards. During a practice session, Nancy has a sample driving distance mean of 229.6 yards based on 18 drives. At the 2% significance level, does the data provide sufficient evidence to conclude that Nancy's mean driving distance is less than 253 yards? Accept or reject the hypothesis given the sample data below.

  • H0:μ=253 yards; Ha:μ<253 yards
  • α=0.02 (significance level)
  • z0=−0.75
  • p=0.2266

Select the correct answer below:

Do not reject the null hypothesis because the p-value 0.2266 is greater than the significance level α=0.02.

Do not reject the null hypothesis because the value of z is negative.

Do not reject the null hypothesis because |−0.75|>0.02.

Reject the null hypothesis because |−0.75|>0.02.

Reject the null hypothesis because the p-value 0.2266 is greater than the significance level α=0.02.

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Answer #1

the p value is 0.2266

and the significance level is 0.02

the right choice is

Do not reject the null hypothesis because the p-value 0.2266 is greater than the significance level α=0.02.

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