Under what circumstance should the decision of a significance test be fail to reject?

Under what circumstance should the decision of a significance test be fail to reject?

When your p-value is greater than your significance level, you fail to reject the null hypothesis. Your results are not significant.

What factors would increase the chance of rejecting the null?

When we increase the sample size, decrease the standard error, or increase the difference between the sample statistic and hypothesized parameter, the p value decreases, thus making it more likely that we reject the null hypothesis.

What is the odds of getting a head outcome when tossing a fair coin?

For example, the probability of an outcome of heads on the toss of a fair coin is ½ or 0.5. The probability of an event can also be expressed as a percentage (e.g., an outcome of heads on the toss of a fair coin is 50% likely) or as odds (e.g., the odds of heads on the toss of a fair coin is 1:1).

What combination of factors will increase the chances of rejecting the null hypothesis?

When to reject the null hypothesis of 10 coin tosses?

With these hypotheses the null hypothesis would only rejected if the number of heads in 10 coin tosses was some number greater than 5. For example, you might reject the null only if you observe 9 or 10 heads in the 10 tosses.

Can a coin toss be inconsistent with fairness?

Sometimes it can show you that your coin-tossing-process on a given coin is inconsistent with fairness, but failure to identify any inconsistency with fairness doesn’t imply fairness (failure to reject is because your sample size is small, not because the coin is actually fair).

Can a coin be fair in a two tailed test?

That’s clearly an unfair coin, but you’ll reject barely more often than your type I error rate, and a large fraction of those rejections in a two tailed test would be “in the wrong tail”!] No coin-tossing process on a given coin will be perfectly fair.

How to calculate the likelihood of tossing a coin?

We will denote heads by 1 and tails by 0; hence, our data will be coded as where x is a vector with elements x1 = 1, x2 = 1, x3 = 1, x4 = 0., x10 = 1. In tossing the coin, we note that heads appeared 6 times and tails appeared 4 times.