Question

6. Tinder is a dating app that allows users to meet potential romantic partners based on geographical proximity. To use Tinder, an individual merely swipes to the right to “like” a potential partner or swipes to the left to “pass” on a potential partner. If two users both like each other, it’s considered a “match,” and they are then able to chat through the app. It’s been claimed that 90% of Tinder users meet their matches within one week, but Aaron thinks this claimed value is too high. He is able to survey a random sample of 100 Tinder users, and he finds that 86 of these users meet their match within one week. If Aaron conducts a hypothesis test in order to test the claim that Ho: p = 0.90, what will his p-value be?
A. Less than 0.01

B. Between 0.01 and 0.05

C. Between 0.05 and 0.10

D. Larger than 0.10

E. There is not enough information available in the problem to determine the p-value.

7. We say the result of a hypothesis test is practically important or practically significant if  
A. the p-value is smaller than the significance level.

B. the result would be unlikely to occur just by chance alone if we assume the null hypothesis is true.

C. the result is practically meaningful or has important implications.

D. All of the above are correct answers.

E. None of the above are correct answers.

8. According to a recent report, only 40% of parents make their children wear helmets while riding on bicycles. A researcher believes this claimed value is too low. She gathers data in order to test the hypotheses Ho: p = 0.40 vs. Ha: p > 0.40. What is wrong with these hypotheses?
A. Nothing.

B. The hypotheses should be written about sample statistics, not population parameters.

C. The hypotheses should be about means, not proportions.

D. The null hypothesis should have a “<” sign rather than an “=” sign.

E. The alternative hypothesis should have a “<” rather than a “>” sign.


9. The Better Business Bureau claims that in the population, 65% of adults experience some form of identity theft. In a random sample of 187 adult Ohio residents, 51% report having experienced some form of identity theft. Suppose we want to use this sample data to conduct a hypothesis test at an alpha or significance level of 0.05. What would our sample proportion be?
A. 0.51

B. 0.27

C. 0.19

D. 0.65

E. 0.05  

10. The marketing department of a national department store chain designs its advertising to target 18- to 24-year-olds. The marking manager worries that the average age of the chain’s customers is greater than 24, in which case the marketing plan should be reconsidered. He decides to survey a random sample of 200 customers and will use the resulting data to test ?o: ? = 24 vs. ?a: ? > 24, where ? is the mean customer age. Suppose that the p-value from this test is 0.03. Which of the following is a correct interpretation of this p-value?
A. Approximately 3% of the chain’s customers are older than 24.

B. The probability that the null hypothesis is true is 0.03.

C. The probability that the null hypothesis is false is 0.03.

D. Under the assumption that the null hypothesis is true, the probability of seeing results as extreme or more extreme than what was observed in the sample is 0.03.

E. Under the assumption that the null hypothesis is false, the probability of seeing results as extreme or more extreme than what was observed in the sample is 0.03.

Answer 1

Solution

Q6

Option C. Between 0.05 and 0.10 Answer 1

Explanation

The test statistic is: Z = (0.86 – 0.90)/√(0.9 x 0.1/100) = - 1.3333

Under the null hypothesis, Z ~ N(0, 1) and the alternative is p < 0.9 [because, ‘Aaron thinks this claimed value is too high’].

So, p-value = P(Z < - 1.3333)

= 0.0912 [Using Excel Function: Statistical NORMSDIST]

Q7

Option A Answer

Q8

Option A Answer

Q9

Option A Answer

Q10

Option D. Under the assumption that the null hypothesis is true, the probability of seeing results as extreme or more extreme than what was observed in the sample is 0.03.

Answer

DONE