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Mathematics, 12.02.2021 23:10 001234567891011

Pennies made prior to 1982 were made of 956 copper. Because of their copper content, these 2. pennies are worth about $0.022 each. Pennies made after 1982 are only 25% capper. Jenna reads online that 13.2% of pennies in circulation are pre-1982 copper pennies. Jenna has a large container of pennies at home. She selects a random sample of 50 pennies from the container and finds that 11 are pre-1962 copper pennies. Does this provide convincing evidence that the proportion of pennies in her container that are pre-1982 copper pennies is greater than 0.132? A Identity the population, parameter, sample and statistic.

Population:

Sample:

Parameter

Statistic:

2. Does Jenna have some evidence that more than 13.2% of her pennies are pre-1992 copper permes?

3. We used technology to simulate selecting 100 SRSS of size n = 50 from a population of pennies in which 13.2% are pre-1982 copper pennies. The dotplot shows the sample proportion of copper pennies for each of the 100 samples. ul

C. Provide two explanations for the evidence described in 2

Teatend

A. There is one dot on the graph at 0.22 (or 22%). Explain what this dot represents

B. Assuming that 13.29% of pennies in circulation are pre 1982 copper pennies, is t surprising to randomly select 50 pences far wtuch p = 11/50 = 22% or greater? Justify your answer

Based on your previous answers, Is there convincing evidence that mare than 13.2% of perrues in

Jennas container are pre 1982 copper pennies? Explain your reasoning.

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