STA2023 TEST 3 MAKE-UP

STA2023 TEST 3 MAKE-UP

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STA2023 TEST 3 MAKE-UP
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1) ​A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim, a random sample of 110 doctors is obtained. Of these 100 doctors, 96 indicate that they recommend aspirin. Use one-sided hypothesis testing to evaluate the claim. Use alpha = 0.05

2) Research conducted a few years ago showed that 35% of UCLA students had travelled outside the US. UCLA has recently implemented a new study abroad program and results of a new survey show that out of the 95 randomly sampled students 40 have travelled abroad. Is there significant evidence to suggest that the proportion of students at UCLA who have travelled abroad has increased after the implementation of the study abroad program? Use alpha=5%.

STA2023 TEST 3 MAKE-UP

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3) Males and females were asked about what they would do if they received a $100 bill by mail, addressed to their neighbor, but wrongly delivered to them. Would they return it to their neighbor? Of the 69 males sampled, 62 said yes and of the 131 females sampled, 120 yes.
Does the data indicate that the proportions of females that said yes is higher than the proportion for male, at a 5% level of significance?

4) ​A candidate in a two-person election commissions a poll to determine who is ahead. The pollster randomly chooses 500 registered voters and determines that 260 out of the 500 favor the candidate. Construct a 95% confidence interval for the rate of support for this candidate, and calculate the margin of error.

5) Suppose the Cartoon Network conducts a nation-wide survey to assess viewer attitudes toward Superman. Using a simple random sample, they select 400 boys and 300 girls to participate in the study. Forty percent of the boys say that Superman is their favorite character, compared to thirty percent of the girls. What is the 90% confidence interval for the true difference in attitudes toward Superman? What is the margin of error?

STA2023 TEST 3 MAKE-UP

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