1. A psychologist is interested in investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At a = 0.01, test the claim that more than 35% of teenagers who live in the city are depressed.

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1. A psychologist is interested in investigating the proportion of depressed teenagers in
a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms
of depression. At a = 0.01, test the claim that more than 35% of teenagers who live in
the city are depressed.
2. A researcher wishes to determine the proportion of college students who smoke
marijuana. He determined that from a sample of 120 college students, 24 tested positive
of marijuana. Is it valid to infer that 20% of college students smoke marijuana? Use
a = 0.05.
3. A telecommunications analyst believes that more than 34% of Filipinos subscribed
to any of the available postpaid plans. A random sample of 55 was chosen and the
gathered data showed that 22 are postpaid subscribers. At 0.10 significance level, is
there sufficient evidence to conclude that more than 34% of Filipinos are postpaid
subscribers?
Transcribed Image Text:1. A psychologist is interested in investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At a = 0.01, test the claim that more than 35% of teenagers who live in the city are depressed. 2. A researcher wishes to determine the proportion of college students who smoke marijuana. He determined that from a sample of 120 college students, 24 tested positive of marijuana. Is it valid to infer that 20% of college students smoke marijuana? Use a = 0.05. 3. A telecommunications analyst believes that more than 34% of Filipinos subscribed to any of the available postpaid plans. A random sample of 55 was chosen and the gathered data showed that 22 are postpaid subscribers. At 0.10 significance level, is there sufficient evidence to conclude that more than 34% of Filipinos are postpaid subscribers?
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