test the null hypothesis p=0.90 against the alternative hypothesis p<0.90 at 0.50 level of significance
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A manufacturer of a spot remover claims that his product removes 90% of all spots.If in a sample only 174 of 200 spots were removed with the manufacturer product,test the null hypothesis p=0.90 against the alternative hypothesis p<0.90 at 0.50 level of significance
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- A USFSP administrator claims that the GPA for graduating seniors is more than 3.5. To test this claim, using a 0.05 significance level, a random sample of 49 graduating seniors was taken. The Test Statistic was t = 2.3, P Value = 0.0129. Select the correct conculsion about the null hypothesis and the claimThe mean number of sick days per employee taken last year by all employees of a large city was 10.6 days. A city administrator is investigating whether the mean number of sick days this year is different from the mean number of sick days last year. The administrator takes a random sample of 40 employees and finds the mean of the sample to be 12.9. A hypothesis test will be conducted as part of the investigation. Which of the following is the correct set of hypotheses? Но : и — 10.6 A На : д> 10.6 Η,: μ 10.6 в На : д2 10.6 Ho : H = 10.6 Η,: μ< 10.6 Но : д — 12.9 D Ha : µ + 12.9 Но : д — 12.9 E На : д< 12.9A physical therapist is interested in studying the proportion of adults that receive a physical therapy treatment plan due to sciatica. The physical therapist states the proportion of adults that receive a physical therapy treatment plan due to sciatica is less than 0.30. If we would like to test the physical therapist's claim with a hypothesis test using a significance level of α=0.10 , which of the following choices are true? Select the correct answer below: There is a 10% chance we will conclude p=0.30, but is in fact p<0.30. There is a 10% chance of rejecting the null hypothesis. There is a 10% chance we will conclude p<0.30, but is in fact p=0.30. There is a 10% chance that p<0.30
- A poll surveyed 341 video gamers, and 99 of them said that they prefer playing games on a console, rather than a computer or hand held device. An executive at a game console manufacturing company claims that more than 27% of gamers prefer consoles. Does the poll provide convincing evidence that the claim is true? Use the a = 0.05 level of significance and the p value method with the ti 84 calculator. State the appropriate null and alternative hypothesis. Compute the p value. Round to at least four decimal places.A company claims that their new product has an average lifespan of at least 5 years. A sample of 25 products is randomly selected, and the mean lifespan is found to be 4.6 years with a standard deviation of 0.8 years. Conduct a hypothesis test at the 1% significance level to determine whether there is sufficient evidence to reject the company's claim.In a study of the accuracy of fast food drive-through orders, one restaurant had 39 orders that were not accurate among 333 orders observed. Use a 0.10 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? The null and alternative hypotheses for this test is H0: p=0.1 H1: p does not equal 0.1 Identify the test statistic for this hypothesis test. Identify the P-value for this hypothesis test. Identify the conclusion for this hypothesis test. Does the accuracy rate appear to be acceptable?
- A different random sample with 220 in-person voters was collected, and the value of the test statistic based on this sample was -2.57. What is the appropriate conclusion to the hypothesis test at an a = 0.01 level ? O a. Fail to reject H0. There is sufficient evidence to conclude that the proportion of all in-person voters who waited in line for more than two hours has now fallen below 0.23. O b. Fail to reject H0. There is not sufficient evidence to conclude that the proportion of all in-person voters who waited in line for more than two hours has now fallen below 0.23. O c. Reject HO. There is sufficient evidence to conclude that the proportion of all in-person voters who waited in line for more than two hours has now fallen below 0.23. O d. Reject H0. There is sufficient evidence to conclude that the state government's new streamlined voting scheme reduced the number of in-person voters who waited in line for more than two hours below 0.23. O e. Reject HO. There is sufficient…A company with a large fleet of cars hopes to keep gasoline cost down and sets a goal of attaining a fleet average of greater than 26 miles per gallon. To see if their goal is being met, they check the gasoline usage of 50 company trips, finding a mean of 27.01 miles per gallon. Define the relevant parameter, state the null and alternative hypothesis, and test at the 5% significance level to see whether this sample provides evidence that the company is meeting its goal. The standard error from the randomization distribution under the null hypothesis is SE = 0.68.Use a y-test to test the claim o 40 Hg:o5 40 H3: o> 40 Identify the test statistic. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct conclusion below. O A. Reject Ho. There is not enough evidence at the 10% level of significance to support the claim. O B. Reject Ho. There is enough evidence at the 10% level of significance to support the claim. O C. Fail to reject Ho. There is enough evidence at the 10% level of significance to support the claim. Fail to reject Ho. There is not enough evidence at the 10% level of significance to support the claim. Click to select your answer(s). MacBook Air esc F2 F3 F4 F1 @ 23 $4 % 2 4
- Select the appropriate null and alternative hypothesis for the following research question: Does a different proportion of people enjoy playing video games compared to those who enjoy playing sports? phat1 = proportion of people who live in urban areas that prefer to stream tv/movies phat2 = proportion of people who live in rural areas that prefer to stream tv/movies A. Null Hypothesis: People who live in urban areas prefer to stream their tv/movies less than or equal to people who live in rural areas i.e. phat1 <= phat2 Alternative Hypothesis: People who live in urban areas prefer to stream their tv/movies more than people who live in rural areas i.e. phat1 > phat2 B. Null Hypothesis: People who live in urban areas prefer to stream their tv/movies more than or equal to people who live in rural areas i.e. phat1 >= phat2 Alternative Hypothesis: People who live in urban areas prefer to stream their tv/movies less than people who live in rural areas i.e. phat1 < phat2…A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 61 doors is made, and it is found that they have a mean of 2044 millimeters with a variance of 729. Is there evidence at the 0.05 level that the doors are either too long or too short? State the null and alternative hypotheses for the above scenario.In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 310 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. The test statistic for this hypothesis test is what?