Question
A city of Toronto report showed that 75% of children aged 2 to 17 saw a dentist in the past year. An investigator wants to
A city of Toronto report showed that 75% of children aged 2 to 17 saw a dentist in the past year. An investigator wants to assess whether use of dental services is similar in children living in the GTA. A sample of 125 children aged 2 to 17 living in GTA are surveyed and 62 reported seeing a dentist over the past year. Is there a significant difference in use of dental services between children living in Toronto and those living in GTA? Use a 1% level of significance.
a) State the null and the alternate hypothesis.
Which is correct: a) Ho: p = 0.75 and Ha: p > 0.75 b) Ho: p = 0.496 and Ha: p 0.496 c) Ho: p = 0.75 and Ha: p 0.75
b) Calculate the sample proportion. Express your answer correct to 3 decimal places
c) State the critical value (values). If there are 2 values, type them with their respective signs in front of the values, separated by a comma - no spaces
d) Calculate the test statistic. Express your answer correct to 3 decimal places.
e) Is the test statistic located in a) the acceptance area; b) the rejection (critical area).
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