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- A hospital claims that the proportion of full-term babies born in the hospital who weigh less than seven pounds is no more than 44%. Suppose that we want to carry out a hypothesis test for this claim, suspecting otherwise. State the null hypothesis Ho and the alternative hypothesis H, that we would use for this test. Ho: 0 H: ] Aa OSOFor the following conjecture, state the null and alternative hypotheses. The average resting pulse rate of male marathon runners has decreased from 70 beats per minute. The null hypothesis is : H0 ____ The alternative hypothesis is : H1 ____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.)
- For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 9 hours. Write the claim as a mathematical statement. OA. μ=9 OD. H>9 Choose the correct null and alternative hypotheses below. OA. Ho: *9 OB. Ho: Hs9 Ha: H=9 H₂:μ>9 OB. us9 OE. *9 OD. Ho: 9 is the claim OD. The alternative hypothesis Ha: #9 is the claim O E. The null hypothesis Ho: 29 is the claim. O F. The null hypothesis Ho: μ = 9 is the claim OC. μ29 OF. μ9 Ha:μs9 ⒸF. Ho: 29 H₂:μ<9A researcher conducts a hypothesis test using a sample from an unknown population. If the t statistic has df = 30, how many individuals were in the sample?In testing the hypotheses H0:p = 0.62 vs Ha: p≠ 0.62, the test statistic is calculated to be z = 2.11. Which of the following is the correct p-value? A. 0.0348 B. 0.0174 C. 0.9862 D. 1.9652
- According to a food website, the mean consumption of popcorn annually by Americans is 61 quarts. The marketing division of the food website unleashes an aggressive campaign designed to get Americans to consume even more popcorn. Complete parts (a) through (c) below. (a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Ho: H1: (Type integers or decimals. Do not round.) (b) A sample of 834 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. B. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. D. There is sufficient evidence to conclude that the mean consumption of popcorn has…QUESTION 4 Express the null hypothesis and the alternative hypothesis in symbolic form for a test to support this claim. Use the correct symbol (u. p. a) for the indicated parameter. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p. is less than 2 in every one thousand. Ho:p> 0.002 H₁; p ≤ 0.002 Ho: p 0.002 Ho: P = 0.002 Hj: p < 0.002suppose 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)
- The average American consumes 85 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 82.1 liters of alcohol consumed per year with a standard deviation of 23 liters. What can be concluded at the the a = 0.10 level of significance? You may assume the data are normally distributed.For the following hypothesis test: HO: m ≤ 14 HA: m >14 a: 0.01 with n = 38, o = 9, and x = 16, which of the following is TRUE? Select one: a. reject null hypothesis and conclude that the mean is equal to or less than 14 O b. fail to reject null hypothesis and conclude that the mean is equal to or less than 14 c. reject null hypothesis and conclude that the mean is greater than 14 d. fail to reject null hypothesis and conclude that the is greater than 14For the following conjecture, state the null and alternative hypotheses. The average resting pulse rate of male marathon runners is greater than 70 beats per minute. The null hypothesis is: H0____.The alternative hypothesis is: H1____.