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Question
a coin has heads on one side and tails on the other. the coin is tossed 50 times and lands heads up 19 times. how does this frequency compare to the expected frequency based on the probability of the coin landing with heads up? the frequency is 6 fewer than expected. the frequency is the same as expected. the frequency is 18 more than expected. the frequency is 31 fewer than expected.
Step1: Find expected heads
A fair coin has a 50% (or $\frac{1}{2}$) chance of landing heads. For 50 tosses, the expected number of heads is $50\times\frac{1}{2}=25$.
Step2: Compare observed and expected
Observed heads: 19. Difference: $25 - 19 = 6$. So observed is 6 fewer than expected.
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The frequency is 6 fewer than expected.