Geoff has been running a restaurant in the city for many years. He knows from experience...
Geoff has been running a restaurant in the city for many years. He knows from experience that the proportion of customers that leave tips at this restaurant is 0.58. Geoff has recently opened a restaurant in a suburban area. It seems that tipping habits are different in the suburbs: Geoff believes that the proportion of customers that tip at his new restaurant (p) may be different to 0.58. He conducts a hypothesis test to find out.
The null and alternative hypotheses are:
H0: p = 0.58
Ha: p ≠ 0.58
Geoff takes a random sample of 115 customers and notes whether or not they leave a tip. In this sample, the proportion of people that leave a tip is 0.62.
a)Calculate the test statistic (z). Give your answer to 2 decimal places.
z =
b)Calculate the P-value. Give your answer as a decimal to 4 decimal places.
P-value =
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Geoff has been running a restaurant in the city for many years.
He knows from experience...
Geoff has been running a restaurant in the city for many years. He knows from experience...
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Suppose Jonathan works for the local transportation authority and knows that for the last few years, only 62% of buses have arrived at their destination on time. However, the city recently completed improvements to the main roads, and Jonathan thinks that a higher proportion of buses now arrive on time because of these improvements. Jonathan collects a random sample of bus arrival times for 500 buses and finds that 347 buses arrived on time. He conducts a one-sample, right-sided z-test...
Suppose Jonathan works for the local transportation authority and knows that for the last few years, only 62% of buses have arrived at their destination on time. However, the city recently completed improvements to the main roads, and Jonathan thinks that a higher proportion of buses now arrive on time because of these improvements. Jonathan collects a random sample of bus arrival times for 500 buses and finds that 346 buses arrived on time. He conducts a one-sample, right-sided z-test...
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Suppose Jonathan works for the local transportation authority and knows that for the last few years, only 62% of buses have arrived at their destination on time. However, the city recently completed improvements to the main roads, and Jonathan thinks that a higher proportion of buses now arrive on time because of these improvements. Jonathan collects a random sample of bus arrival times for 500 buses and finds that 347 buses arrived on time. He conducts a one-sample, right-sided z-test...
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