# Null and alternative hypotheses -MD7.2

Help me study for my Statistics class. I’m stuck and don’t understand.

The null hypothesis is H0 is the commonly accepted fact; it is the opposite of the alternate hypothesis. Researchers work to reject, nullify, or disprove the null hypothesis. Researchers come up with an alternate hypothesis, one that they think explains a phenomenon, and then work to reject the null hypothesis. The alternative hypotheses are denoted by H1 or Ha, which is the hypothesis that sample observations are influenced by some non-random cause (Stephanie, 2020).

Example:

People who are in the profession of gambling, typically use things that require people to pick something and the bet becomes a probability bet due to the results being unknown until the big reveal. Suppose we wanted to determine whether a coin was fair and balanced. A null hypothesis might be that half the flips would result in Heads and half, in Tails. The alternative hypothesis might be that the number of Heads and Tails would be very different. Symbolically, these hypotheses would be expressed as

H0: p = 0.5
Ha: p <> 0.5

Suppose we flipped the coin 50 times, resulting in 40 Heads and 10 Tails. Given this result, we would be inclined to reject the null hypothesis. That is, we would conclude that the coin was probably not fair and balanced.

References:

Stephanie. (2020, July 07). Alternate Hypothesis in Statistics: What is it? Retrieved July 23, 2020, from https://www.statisticshowto.com/what-is-an-alternate-hypothesis/ (Links to an external site.)

Stat Trek. (n.d.). Retrieved July 23, 2020, from https://stattrek.com/statistics/dictionary.aspx?definition=alternative+hypothesis

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