Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solu
1 answer:
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Answer:
For this case we want to determine if pennies are really fair when flipped, meaning equally likely to land head up or tails, so then the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to determine if pennies are really fair when flipped, meaning equally likely to land head up or tails, so then the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Answer:
And the critical value for the significance level used is:
Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent
Step-by-step explanation:
For this case we want to test the following hypothesis:
Null hypothesis: College graduation status and cola preference are independent
Alternative hypothesis: College graduation status and cola preference are dependent
For this case we got a calculated statistic of:
And the critical value for the significance level used is:
Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent