a) Find the sample proportion p b) Show that the necessary conditions for a valid hypothesis test are satisfied. Hint: there are 4 of them. c) Write the null hypothesis and the alternate hypothesis. d) Compute the test statistic e) Should Ho be rejected at the 0.05 level of significance?

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8. A simple random sample of size 150 taken from adult residents of a large city
contained 90 individuals who used public transportation and 60 who did not. A
hypothesis test is to be applied to show that over 50% of the city's residents use
public transportation.
a) Find the sample proportion p
b) Show that the necessary conditions for a valid hypothesis test are
satisfied. Hint: there are 4 of them.
c) Write the null hypothesis and the alternate hypothesis.
d) Compute the test statistic
e) Should Ho be rejected at the 0.05 level of significance?
Transcribed Image Text:8. A simple random sample of size 150 taken from adult residents of a large city contained 90 individuals who used public transportation and 60 who did not. A hypothesis test is to be applied to show that over 50% of the city's residents use public transportation. a) Find the sample proportion p b) Show that the necessary conditions for a valid hypothesis test are satisfied. Hint: there are 4 of them. c) Write the null hypothesis and the alternate hypothesis. d) Compute the test statistic e) Should Ho be rejected at the 0.05 level of significance?
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