A statistical power of 95% implies that O the chance that the alternative hypothesis is true is 95%. O the p-value for the study will be 5%. O Ho is probably false. O it is very likely that Ho will be rejected if it is not true.

In a test of statistical hypotheses, the P-value tells us O the probability of observing a sample mean as we did or something more unusual if the null hypothesis is true. if the null hypothesis is true. if the alternative hypothesis is true. the largest level of significance at which the null hypothesis can be rejected.

A p-value is calculated to be 0.005%. Check all of the statements that are CORRECT interpretations of this result. Group of answer choices The alternative hypothesis must be true. The null hypothesis has only 0.005% chance of being true. If the null hypothesis is true, something very surprising has occurred.

A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 1 2 3 4 5 6 Observed 64 45 62 32 47 50 frequency O A USE SALT Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? State the null and alternate hypotheses. Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all…

A hypothesis test produces a p-value of 1.5%. Which of the following are DEFINITELY true? Check all answers that apply. Group of answer choices We have observed something unusual if the null hypothesis is true. The null hypothesis is false. The alternative hypothesis is true. The test is statistically significant. A hypothesis test with a significance level of 1.5% can reject the null when it is actually true in 1.5% of the times.

You were interested to know how long do students of mathematics in the university spend studying their math lessons in a day. You asked 10 random students and obtained the following data (in hours): 2, 1.5, 3, 2, 3.5, 1. 0.5, 3, 2, 4. Construct a 99% confidence interval for the average time that students spend studying math in a day. O 1.46 hours to 3.04 hours O none of the choices. O 1.31 hours to 3.19 hours O 0.95 hours to 3.55 hours

Last year the average math SAT score for students at one school was 775. the Headmaster introduced new methods hoping to improve scores. this year , the math mean SAT score for a sample of students was 1178. If the teaching had no effect, there would be roughly a 3 in 100 chance of seeing such an increase. Does the result have STATISTICAL significance? does the result have PRACTICAL significance? exlain your answer

Which of the following is the name for the statistical hypothesis that describes no change, or nothing expected?   Type I error    Type II error    Alternative hypothesis     Null hypothesis

a.    If a null hypothesis is rejected with a significance level of 0.05, is it also rejected with a significance level of 0.01? Why or why not?     Suppose the level of significance for carrying out the test is lowered from 5% to 1%. As a result, has the likelihood of rejecting the null hypothesis when it is true increased or decreased? Explain

What if we're able to use a normal model. To construct a 95% Confidence Interval, we use the following formula: p hat ± ME for 95% CI If p hat = 0.38 and ME for 95% CI = 0.096, what is CI?  Keep the numbers in 3 decimal places. Put the two numbers in ( ) and use a comma, then a space between the two numbers.