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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- The percentage of drivers wearing seat belts in the Limpopo province was 68.5% in 2017 and 72% in 2018. Assume that these percentages are based on random samples of 1000 drivers in 2017 and 1050 in 2018. Suppose you must test at 5% level of significance whether the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. Determine (i) the alternative hypothesis to be tested: (ii) the value of test statistic: (iii) the p-value and conclusionA significance test is conducted for which the alternative hypothesis states that more than 83 percent of all adult sea turtles on a certain beach are female. A random sample of adult sea turtles from the beach found that 85 percent of the sea turtles were female. The pp-value for the test is 0.4058. If the null hypothesis is true, which of the following statements is a correct interpretation of the pp-value? Of all possible samples of the same size, 40.58 percent will result in 85 percent of adult sea turtles on the beach being female. Of all possible samples of the same size, 40.58 percent will result in 85 percent of adult sea turtles on the beach being female., A Of all possible samples of the same size, 40.58 percent will result in 85 percent or more of adult sea turtles on the beach being female. Of all possible samples of the same size, 40.58 percent will result in 85 percent or more of adult sea turtles on the beach being female., B Of all possible…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 high school is proud of its advanced chemistry class, in which its 16 students scored an average of 89.3 on the statewide exam, with s = 9. Test the same hypothesis at the .01 level (two-tailed), considering your decision with respect to the null hypothesis, what type of error (Type I or Type II) could you be making?A random sample of 120 people who shop for groceries exclusively at Harris Teeter found that 25% primarily use online ordering for their family's groceries. A random sample of 150 people who shop for groceries exclusively at Giant found that 36% primarily use online ordering for their family's groceries. Is this evidence that there is a difference between the two stores for the proportion of people who shop online for groceries? Use a significance level of alpha=0.05 for your inference procedure.It was claimed that 90% of all dentists recommend Tentodyne toothpaste. A consumer group doubted this claim and decided to test Ho: p = 0.9 against the alternate hypoth- esis H₁ : p < 0.9, where p is the proportion of dentists who recommend Tentodyne. A survey of 400 dentists found that 349 recommends this brand of toothpaste. What conclusion can be made at a level of significance of (a) a = 0.05 (b) a = 0.01? Suppose that instead of H₁, the alternative hypothesis was H₂ : p0.9. At 0.05 significance level, what would be the conclusion? Between the two (H₁ and H₂), which is the more appropriate alternative hypothesis in this case? Justify your answer.
- For an ANOVA comparing three treatment conditions, what is stated by the null hypothesis (HO)? Question 1 options: There are no differences between any of the population means. At least one of the three population means is different from another mean. All three of the population means are different from each other. None of the other choices is correct.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 psychologist has developed a standardized test for measuring vocabulary skill for 4 year old children. The scores on the test form a normal distribution with u = 70 and o = 20. A researcher would like to use the test to investigate the hypothesis that children who grow up as an only child develop vocabulary skills at a faster rate than children in larger families. A sample of n=25 only children is obtained and the mean test score for the sample is M = 77. Perform a two tailed hypothesis test, with an alpha level of .05, and add an APA summary.
- In a clinical trial, 25 out of 852 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.4% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.4% of this drug's users experience flulike symptoms as a side effect at the a = 0.05 level of significance? Because npo (1- Po) = 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H1: (Type integers or decimals. Do not round.)In a nursing home study, the researchers found that 15 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 27 randomly selected large nursing homes had a resident vaccination rate of less than 80%. At a significance level of .05 test the claim that there is a lower proportion of small nursing homes with a resident vaccination rate of less than 80% than large nursing homes. Let small nursing homes be population 1. State the original claim in symbolic form State the null and alternative hypothesis in symbolic form Find the test statistic Find the critical value(s) State your conclusion. Reject or fail to reject the hypothesis.In a clinical trial, 23 out of 897 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.1% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.1% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance? Because npo (1- Po) = V 10, the sample size is 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H1: (Type integers or decimals. Do not round.) Find the test statistic, zo- Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. A. Since P-value a, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.1% of the users experience flulike…