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27 May, 09:56

A fair coin should land showing tails with a relative frequency of 50% in a long series of flips. Connor reads that spinning - rather than flipping - a US penny on a flat surface is not fair, and that spinning a penny makes it more likely to land showing tails. She spun her own penny 100 times to test this and the penny landed showing tails in 60% of the spins. Let p represent the proportion of spins that this penny would land showing tails.

What are appropriate hypotheses for Connor's significance test?

A. H_0 : p = 50% H_1 : p > 60%

B. H_0: p = 50% H_1: p > 50%

C. H_0: p = 50% H_1: p < 50%

D. H_0 : p = 60% H_1 : p < 60%

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Answers (2)
  1. 27 May, 10:07
    0
    B. H_0: p = 50% H_1: p > 50%

    Explanation:

    In knowing if a test is significant, your statistic will be much more than the critical value from the table: Your finding is significant. You discard the null hypothesis. The likelihood is little that the difference or connection occurred by chance, and p is smaller than the critical alpha level (p < alpha).

    Going by the question above we are examining if the proportion of tails will be high in the condition that penny is spinned, the appropriate hypotheses for Connor's significance test: H_0: p = 50% H_1: p > 50%
  2. 27 May, 10:14
    0
    Option B is correct

    H_0: p = 50% H_1: p > 50%

    Explanation:

    Here a we are checking if proportion of tails will be high if penny is spinned,

    appropriate hypotheses for Connor's significance test: H_0: p = 50% H_1: p > 50%
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