Circle T or F based on whether the following statements are True or False respec

Question

Circle T or F based on whether the following statements are True or False respectively. a) T F The p-value increases as sample size increases b) T F The p-value increases as standard deviation increases c) T F Type-I error can be greater than 1 d) T F Type-II error is more severe than Type-I error e) T F p-value is an estimate of Type-I error f) T F Test of hypothesis facilitates making decision based on data g) T F We always use normal distribution to compute p-value h) T F We reject a two tailed hypothesis if test statistic falls inside CI i) T F If sample size increases we are more likely to reject H_0 K T F For our class the format to write null hypothesis is H_0: mu - mu_0

Explanation / Answer

a] False

As sample size increases the value of test statistic is increases and then the P-value tail decreases. Hence P-value is decreases as sample size increases.

b] True

As standard deviation is increases then the value of test statistic is decreases and then the P-value tail increases. Hence P-value is increases as standard deviation increases.

c] False

Type I error is always lies between 0 to 1.

d] False

Type I error is more severe than Type II error. Hence we already fixed it between 5% to 1%.

e] True

P-value is calculation is based on test statistic, and test statistic is calculated under null hypothesis. And Type I error is the happen when we reject a true null hypothesis.

f] True

g] False

P-value calculation is based on the distribution of test statistic.

h] False

we reject a two tailed hypothesis if test statistic falls outside confidence nterval.

i] False

k] True

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