Provide an Appropriate Response $50 \%$ Of the Time $p < 0.5$

question 6

Essay

Provide an appropriate response. Tim believes that a coin is coming up tails less than $50 \%$ of the time. He tests the claim $p < 0.5$ . In 100 tosses, the coin comes up tails 57 times. What is the value of the sample proportion? Do you think the $P$ -value will be small or large and what should Tim conclude about the claim $p < 0.5$ ?

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Definitions:

Pitch

A tone’s experienced highness or lowness; depends on frequency.

Frequency

The rate at which something occurs or is repeated over a particular period of time or in a given sample.

Steel Towns

Urban areas primarily developed around and dependent on the steel industry, characterized by steel mills, worker housing, and often a strong sense of community among workers.

Homestead

A dwelling with its land and buildings, occupied by the owner as a home and typically used for agriculture or similar purposes.