Many hotel chains that offer free Wi-Fi service to their customers have experienced increasing demand for Internet bandwidth and increasing costs. Marriott International would like to test the hypothesis that the proportion of customers that are carrying two Wi-Fi devices exceeds 0.60. A random sample of 120 Marriott customers found that 78 have two Wi-Fi devices. Marriott International would like to set
α = 0.01. Which one of the following statements is true?
▸ Because the
p-value is greater than
α, we reject the null hypothesis and cannot conclude that the proportion of Marriott customers that carry two Wi-Fi devices is greater than 0.60.
▸ Because the
p-value is greater than
α, we fail to reject the null hypothesis and conclude that the proportion of Marriott customers that carry two Wi-Fi devices is not more than 0.60.
▸ Because the
p-value is less than
α, we reject the null hypothesis and conclude that the proportion of Marriott customers that carry two Wi-Fi devices is greater than 0.60.
▸ Because the
p-value is less than
α, we fail to reject the null hypothesis and cannot conclude that the proportion of Marriott customers that carry two Wi-Fi devices is less than 0.60.
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