1) The critical value for a one-tail (upper) hypothesis test when the population standard deviation is known, the sample size is 30 or more, and α =0.02 is ________. Round to two decimal places.
A. 2.05
B. 2.33
C. 2.96
D. 2.58
2) Many hotel chains that offer free Wi-Fi service to their customers have experienced increasing demand for Internet bandwidth and increasing costs. One hotel chain would like to test the hypothesis that the proportion of customers that are carrying two Wi-Fi devices exceeds 0.40. A random sample of 130 customers found that 63 have two Wi-Fi devices. The hotel chain would like to set α =0.05. The critical value for this hypothesis test would be ________.
A. 1.28
B. 2.33
C. 1.645
D.1.96
3) A golfer claims that his average golf score at the course he plays regularly is less than 90. Which of the following describes a Type II error?
A.The golfer concludes that the average score is 90 or more when, in reality, the average score is less than 90.
B.The golfer concludes that the average score is more than 90 when, in reality, the average score is equal to 90.
C. The golfer concludes that the average score is less than 90 when, in reality, the average score is 90 or more.
D.The golfer concludes that the average score is 90 or less when, in reality, the average score is equal to 90.
4) A travel website would like to test the hypothesis that the proportion of flights that arrive on-time is less than 0.80. A random sample of 110 flights found that 82 arrived on-time. The website would like to set α =0.02. The critical proportion for this hypothesis test would be ________. Round to three decimal places.
A. 0.722
B. 0.806
C. 0.795
D. 0.776
5) A website would like to test the hypothesis that the average length of an online video watched by a user is more than 6 minutes. A random sample of 40 people watched online videos that averaged 6.6 minutes in length. It is believed that the population standard deviation for the length of online videos is 1.7 minutes. The website would like to set α=0.05. Which one of the following statements is true?
A.Because the p-value is less than α, we reject the null hypothesis and conclude that the average length of an online video is more than 6 minutes.
B. Because the p-value is greater than α, we reject the null hypothesis and conclude that the average length of an online video is more than 6 minutes.
C. Because the p-value is greater than α, we fail to reject the null hypothesis and conclude that the average length of an online video is less than 6 minutes.
D. Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average length of an online video is less than 6 minutes.
6) A website would like to test the hypothesis that the average length of an online video watched by a user is more than 6 minutes. A random sample of 40 people watched online videos that averaged 6.6 minutes in length. It is believed that the population standard deviation for the length of online videos is 1.7 minutes. The website would like to set α =0.05. The critical value for this hypothesis test would be ________. Round to three decimal places.
A. 1.960
B. 1.645
C. 1.280
D. -1.960