Consider the following conditions. X1 = 34.81 s,? = 14 n; = 12 X2 = 36.78 S22 = 10 n2 = 15 Using a = 0.05, test the hypotheses Ho: H1 = P2 against the alternative hypothesis Ha: Hi < H2
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- 6% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 364 people from the inner city surveyed, 69 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly larger than 16% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 16% The data suggest the population proportion is not…Johanna has conducted a hypothesis test for H0:μ=72 vs. Ha:μ≠72, found a p-value of 0.07, and decided not to reject the null hypothesis. What conclusion is associated with this decision?A. There is not evidence to show that μ≠72.B. There is evidence to show that μ=72.C. There is evidence to show that μ≠72.D. There is not evidence to show that μ=72.Q1:Let p equal the proportion of drivers who use a seat belt in a country that does not have a mandatory seat belt law. It was claimed that p = 0.14. An advertising campaign was conducted to increase this proportion. Two months after the campaign, y = 104 out of a random sample ofn = 590 drivers were wearing their seat belts. The null and alternative hypotheses are given by
- 60% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 130 of the 241 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho:1?v Но: 7Select an answer v (please enter a decimal) H1:1?v|Select an answer v (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusiion is that .. The data suggest the population proportion is not significantly smaller than 60% at a = 0.01, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received…Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day. To test this claim, a random sample of 50 adults was selected, and their average coffee consumption was found to be 1.85 cups of daily coffee consumption per day is 0.5 cups. Using a = 0.10, complete parts a and b below. a. Is the coffee industry's claim supported by this sample? Determine the null and alternative hypotheses. Họ: H 1.7 H1:µ + 1.7 The z-test statistic is 2.12. (Round to two decimal places as needed.) The critical z-score(s) is(are).- (Round to two decimal places as needed. Use a comma to separate answers as needed.)A random sample of 40 bags of a certain brand of chips contains an average of 32 grams of fat with s.d. 2.8 grams. We wish to determine whether there is strong evidence that the overall average amount of fat contained in this brand of chips is over 30 grams.(a)Clearly state the test hypotheses as follows:Let____represent the overall______H0:____,H1:_____(b)Use an appropriate formula to calculate the test statistic.(c)Use an appropriate table to estimate the p-value. (Do not draw any conclusion)
- While testing the null and alternate hypothesis:H0: mu=50 vs. Ha:mu not equal 50n=100p-value = 0.9357alpha = 0.05What is the correct decision? A. Do not reject H0 B. Reject H0 C. none of these D. Reject HaLet n₁ = 50, X₁ = 40, n₂ = 50, and X₂ = 20. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: ₁2π₂ H₁: π₁ π₂ C. Ho: π₁ #1₂ H1: П1 =П2 Calculate the test statistic, ZSTAT, based on the difference P₁ - P2. The test statistic, ZSTAT, is (Type an integer or a decimal. Round to two decimal places as needed.) Calculate the p-value. O D. Ho: ₁ = π₂ H₁: π₁ #π₂ 퍼 The p-value is. (Type an integer or a decimal. Round to three decimal places as needed.)Consider the hypotheses shown below. Given that x = 119, a = 25, n= 43, a 0.05, complete parts a and b. Họ: u= 127 H,: u# 127 a. What conclusion should be drawn? b. Determine the p-value for this test. a. The z-test statistic is -2.10. (Round to two decimal places as needed.) The critical z-score(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.)
- Consider the following hypotheses. Ho: p ≤0.44 HA: P >0.44 A random sample of 400 is taken. Using each set of information given in parts a through c, compute the power of the test. a. α = 0.01, true p = 0.47 b. x=0.025, true p = 0.46 a. The power of the test is (Round to four decimal places as needed.) *** c. α=0.05, true p=0.45suppose media reports that only 37% of doctors recommend wearing face masks.You suspect this is incorrect, so you sample 66 random doctors and find that 15 of them recommend wearing face masks. State the alternative hypotheses of this test. Alternative Hypothesis (Ha):p = To test our hypothesis, we will assume that p= What is the value of np rounded to 2 decimal places? What is the value of n(1−p) rounded to 2 decimal places? Is the success-failure condition of the Central Limit Theorem satisfied? Yes. Both npnp and n(1−p)n(1-p) are ≥15≥15. No. Either np<15np<15 or n(1−p)<15n(1-p)<15. multiple choice (5)50% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 117 of the 239 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The null and alternative hypotheses would be: Ho: ? μ p Correct Select an answer = < ≠ > Correct (please enter a decimal) H1: ? p μ Correct Select an answer < ≠ = > Correct (Please enter a decimal) The test statistic ? z t Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
