Which of the following hypothesis can be tested using a t-test? (More than one answer could be correct) a. Ho: ß= 0 vs H₁B #1 b. c. Ho: P₁ = 0 vs H₁ B₁ > 0 d. Ho: x = 0 vs H₁ : x # 0 e. Ho: x= 0 vs H₁ : x 0 Ho: μ = -0.23 vs H₁ μ‡ -0.23
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- A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H0: μ ≥ 3.6 Ha: μ < 3.6 What type of test is being conducted in this problem? A. Left-tailed test B. Two-tailed test C. Right-tailed testA formal hypothesis test is to be conducted using the claim that the mean body temperature is equal to 98.6°F. What is the null hypothesis and how is it denoted? OA. Ho: #98.6°F OB. Ho: p<98.6°F OC. Ho: p=98.6°F OD. Ho: 98.6°F CO W S I I 3 X дв and E D с R F 5 V T G 6 B Y H 9 U 7 8 J EN I M 9 K O V I L Time Remaining: 01:05:00 P command ww t 11 Next I optionConduct the hypothesis test for H0: µ = 10 versus Ha: µ < 10 where x bar = 9.6 and s = 3, n = 50. Use alpha = .01. Explain whether we should reject or accept the null hypothesis.
- ‡ Given the null hypothesis Ho: x' = Xo, the alternative hypothesis H₁: x' xo, and the observed level of significance as 0.25, which of the following set of p-values would all lead to a rejection of the null hypothesis? A. {0.2, 0.1, 0.01} B. {0.5, 0.1, 1.0} C. {0.8, 0.1, 0.01} D. {0.98, 0.9, 1.2} E. {4.5, 0.15, 0.61}"Trydint" bubble-gum company claims that 5 out of 10 people prefer their gum to "Eklypse" and they want to test if this value is different. The null and alternative hypothesis in symbols would be: O Ho:p = 0.5 H1:p > 0.5 %3D O Ho:p = 0.5 H1:p 0.5 %3D Ho:p = 0.5 H1:p # 0.5 The null hypothesis in words would be: The proportion of all people that prefer Trydint gum is less than 0.5. The proportion of people in a sample that prefer Trydint gum is not 0.5 The average of people that prefer Trydint gum is 0.5. The proportion of all people that prefer Trydint gum is greater than 0.5. The proportion of all people that prefer Trydint gum is 0.5 OThe proportion of people in a sample that prefers Trydint gum is 0.5. The average of people that prefer Trydint gum is not 0.5. NOV3. Consider a test of H0: u=55 versus Ha: u<55 performed. Make the appropriate conclusion for the given situation: z-value=-1.75, a=.05, p-value=.0401. a. reject H0 b. fail to reject H0 4. Consider a test of H0: u=40 versus Ha: u>40 performed. Make the appropriate conclusion for the given situation: z=-2.5, a=.01, p-value=.0062. a. reject H0 b. fail to reject H0
- 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.In testing the hypothesis Ho: μ=50 vs Ha: μ≠50, the following was obtained: n=64,x ̅=53.5 and σ=10. The test statistic value is A. t=2.8 B. t=-2.8 C. z=2.8 D. z=-2.8Which of the following is an acceptable statement of a null and alternative hypothesis? O Ho: μX O Ho: μ = X vs. H₂: μ>X O Ho: H > X vs. H₂: μ< X O None of the answer options is correct.
- Consider the data. х, | 2 6 13 20 9 17 10 27 24 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. O Ho: B, + 0 H: B, = 0 O Ho: B, 2 0 H: B, < 0 O Ho: B, = 0 H: B + 0 O Ho: Bo = 0 H: Bo + 0 O Ho: Bo + 0 H: B, = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H. We cannot conclude that the relationship between x and y is significant. O Do not reject Hn. We conclude that the relationship between x and y is significant. O Reject H. We conclude that the relationship between x and y is significant. O Do not reject H.. We cannot conclude that the relationship between x and y is significant.Amish State Oil claims their gasoline additive increases fuel economy. Miles per gallon (MPG) for 15 identical vehicles were obtained and results are listed below in column one. These vehicles were given the gasoline additive and the MPG results are listed in column two. Find p and state your conclusion whether Amish State Oil’s claim is true, using a= 0.05.A researcher has boiled her hypothesis test down to the following information. Ho: µ = a = 43.2261, s = 42, Ha: µ > 42, a = 0.06 4.5155, n = 17 Find the p-value.
