1. A popular infomercial wants to know the proportion of viewers that prefer gol
ID: 3375775 • Letter: 1
Question
1. A popular infomercial wants to know the proportion of viewers that prefer gold to silver jewelry. Viewers are asked to text "gold" or "silver" to a provided number. Seventy-seven percent of the 5,000 people that responded texted "gold." Which condition for inference has NOT been met?
All conditions appear to be met.
N > 10n
np ? 10 and n(1 - p) ? 10
Inference about a proportion is the objective.
The sample is an SRS of the population.
2. At a carnival, an individual can win a prize by choosing a rubber duck from a pond with "Win" written on the underside of the duck. There are a total of eight ducks with "Win" written on the underside of the duck, and there are 17 ducks with "Lose" written on the underside of the duck. After each pick, if a prize is won, the duck is replaced in the pond. If a prize is not won, then the duck is again placed back into the pond. If an individual makes four picks, what is the probability the individual will win a prize exactly one time?
2(0.32)(0.68)
(0.32)^1(0.68)^3
3.
A random sample of 150 egg lovers is asked to state their gender and egg preference. The results are recorded in the table.
A chi-square test is used to test the null hypothesis that gender and egg preference are independent. Which of the following statements is correct?
Fail to reject H0 at the 0.3 significance level.
Fail to reject H0 at the 0.1 significance level.
Reject H0 at the 0.01 significance level.
Reject H0 at the 0.005 significance level.
Fail to reject H0 at the 0.01 significance level.
Gender Fried Poached Scrambled Boiled Male 22 21 16 18 Female 25 13 21 4Explanation / Answer
Sol:
1:
Option B is correct.
Since N is unknown but n is known to us, we do not know for sure if the condition N > 10n has been met.
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