(Solved): Stat 30100 Lecture Worksheet 8.1-8.2 1.) A 0.1 significance level is used to test whether or not a ...

Stat 30100 Lecture Worksheet 8.1-8.2 1.) A 0.1 significance level is used to test whether or not a house on average has 20 trick-ortreaters visit on Halloween. A random sample of 35 houses were selected and the number of trick-or-treaters were recorded; the average was 23. Assume the population standard deviation is 10 trick-or-treaters. a. Write down the null and alternative hypothesis. b. What is the value of

? c. Write a sentence that identifies what the Type I error would be in this example. d. Write a sentence that identifies what the Type II error would be in this example. 2.) In a study of pregnant women and their ability to correctly predict the sex of their baby, 59 of the pregnant women incorrectly predicted the sex of their baby, and

of these women correctly predicted the sex of their baby. Use a 0.05 significance level to test the claim that these women have an ability to predict the sex of their baby equivalent to random guesses. Use the normal distribution as an approximation of the binomial distribution. Do the results suggest that their percentage of correct predictions is different from results expected with random guesses? a. Identify the null and alternative hypotheses. b. The test statistic is

Round to two decimal places as needed.) c. The

-value is

(Round to four decimal places as needed.) d. Identify the conclusion about the null hypothesis. Do the results suggest that their percentage of correct predictions is different from results expected with random guesses? Use the wording below to help: "(Accept or Reject)

. There

(is/is not) sufficient evidence to warrant rejection of the claim that these women have an ability to predict the sex of their baby equivalent to random guesses. The results for these women suggest that their percentage of correct predictions (is/is not) very different from results expected with random guesses."