According to the Centers for Disease Control and Prevention, 10.3% of high school students currently use electronic cigarettes. A high school counselor is concerned the use of e-cigs at her school is higher. Complete parts (a) through (c) below. (a) Determine the null and alternative hypotheses. Họ: (Type integers or decimals. Do not round.) (b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the high school counselor. O A. There is not sufficient evidence to conclude that the proportion of high school students stayed 0.103 at this counselor's high school. O B. There is not sufficient evidence to conclude that the proportion of high school students exceeds 0.103 at this counselor's high school. OC. There is sufficient evidence to conclude that the proportion of high school students stayed 0.103 at this counselor's high school. O D. There is sufficient evidence to conclude that the proportion of high school students exceeds 0.103 at this counselor's high school. (c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.243. Was a type I or type Il error committed? O A. AType Il error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.103, when, in fact, the proportion is higher. O B. AType Il error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.243, when, in fact, the proportion is lower. OC. A Type I error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.243, when, in fact, the proportion is lower. O D. AType I error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.103, when, in fact, the proportion is higher.

1. A marketing manager for a cell phone company claims that more than 35% of children aged 10 – 11 have cell phones. In a survey of 5000 randomly selected children ages 10 – 11, 1805 of them had cell phones. Based on the sample data, can you conclude that the manager's claim is true? Use a 1% level of significance. a. Define the population proportion to be tested and write the null and alternative hypotheses. b. Check the conditions required for the test.

An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 51% of first-year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal. Formulate the null and alternative hypotheses. Choose the correct answer below. .... A. Ho:p=0.5 O A. O B. Ho: p=0.5 Ha:p#0.5 Ha:p0.5 Find the test statistic. (Round to two decimal places as needed.) Find the P-value for the found test statistic. P-value = |(Round to four decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. B. Do not reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. C.…

Suppose that in a random selection of 100 colored candies, 25% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.26 H₁: p0.26 O C. Ho: p=0.26 H₁: p=0.26 O D. Ho: p=0.26 H₁: p=0.26 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% C. Fail to reject Hỏ. There is…

Past studies have indicated that the percentage of smokers is estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0: _______               H1: _______              b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed

a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a.

Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest.     Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102   We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha:   Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0   B. What the test statistics? You probably need to find the pooled proportion first.  Pooled proportion is  ___________.  0.6 0.78 0.6844   C. Test statistic is ________. 3.46 1.28 66.41 4.36

a. set up appropriate null and alternative hypotheses of the test b. choose an appropriate test statistic and use the data to find the p-value

Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…

1. Name your alternative and null hypotheses. b) Be sure and provide the mean for each group, standard error and significance levels. c) Write out a COMPETE statement as to and whether you accept or reject the null hypothesis.     The federal government instituted a training program to help participants increase their monthly income. The Department’s inspector general wished to evaluate the program’s success or failure.   Monthly income before the training program Monthly income after the training program 1363 1373 1482 1492 1579 1589 1643 1653 1752 1762 1848 1858 1927 1907 2055 2035 2143 2053 2237 2247 1752 1782 1752 1762 1643 1653 1848 1858 1752 1762