Question

Find the indicated critical z value. the value of zan that corresponds to a confidence level of 97 80% Use the given degree of confidence 2) Of 88 selected and sample data to construct a confidence interval for the population proportion p adults selected randomly from one town 69 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance the given degree of confidence and sample data to constrect a confidence interval for the population mean i. Assume the population has a normal distribution. that 3) A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 225 malligrams with s- e88s 15.7 milligrams. Construct a 95% confidence iierval for the true mean doleird anent of all mch identify the null hypothesis, alternative hypotheslis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. 4) In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma. At the 0,05 significance level, test the claim that the proportion of all children in the town who suffer from asthma īs 11%. Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. 5) The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scoees with a standard deviation of 13.2 Use a significance level of 0.01 to test the teacher's claim the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected 6)In a random sample of 360 women, 65% favored stricter gun control laws. In a random sampie of 220 men, 60% favored stricter gun control laws. Test the claim that the proportion of women higher than the proportion of men favoring stricter gun control. Use a significance level of 0.05. Test the indicated claim about the means of two populations. Assume that the two samples are independent simple andom samples selected from normally distributed populations. Do not assume that the population standard deviations re equal. Use the traditional method or P-value method as indicated 7) A researcher was interested in comparing the amount of time (in hours) spent watching television by women an men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked h many hours he or she had watched television during the previous week. The summary statistics are as follows Men x1 히 1.8 hr-2-13.5 hr Use a 0.05 significance level to test the claim that the mean amount of time spent watching television by women smaller than the mean amount of time spent watching television by men. Use the traditional method of hypothes testing

Answer 1

Роде-1 cerlcan fype in a sample sizen confidence Toterval rn 0.78-1-G4|0.78x0.22 0.78-0.072 Cr lim 2n - o 8S2 12 to construct gS% con

confidence Interva - 乙 22 S+ .gs. 22.5 + 8.88 1 2 こ3128 2-s-a-88 = 13.c2 (3.C 2, 31.38 0, 22 Test statistic - O 22-011 G 7
7
Page-s es statistic 2 48 J14 דו 7.28 t =-0.098 P-value o. 4c1303 ect По 6t siqniiconc

at lexel di significance Hypothesis 2. tesl stactistic 2 ni hi 2 o.04 -125

Pa«e-'4 2くろ Proportion d favor g Qun contral equal to PTo po tion men favoring stricter sun contTol 2 2 4 11 2 212.944S9. 29 2. S- 23.19 o thesis