15) Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 100 times and got 43 heads. We wish to find how significant is this evidence against equal probabilities. What is the sample proportion of heads? Round to 3 places. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? PICK ONE H0: p = 0.5 H0: p < 0.5 H0: p ≠ 0.5 H0: p = 0.5 H0: p = 0.5 H0: p ≠ 0.5 H0: p = 0.5 H0: p > 0.5 Compute the z test statistic. z = Round to 2 places.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
15)
Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 100 times and got 43 heads. We wish to find how significant is this evidence against equal probabilities.
- What is the sample proportion of heads?
Round to 3 places. - Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different?
Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test?
PICK ONE
- H0: p = 0.5
H0: p < 0.5 - H0: p ≠ 0.5
H0: p = 0.5 - H0: p = 0.5
H0: p ≠ 0.5 - H0: p = 0.5
H0: p > 0.5
- H0: p = 0.5
- Compute the z test statistic.
z = Round to 2 places.
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