You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Squared Observed Expected Frequency Frequency Category Pearson Residual A 24 18.2 17 18.2 11 18.2 16 18.2 E 23 18.2 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) x =
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- Can you tell me what the solution would be to this one?An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? Answer using the following format: a. H0: _______ b. Ha: _______ c. In words, CLEARLY state what your random variable X represents. d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate…Please answer the following question using ****EXCEL***
- Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? n X S Red Background 35 15.04 5.97 Blue Background 36 12.93 5.46 What are the null and alternative hypotheses? O A. H₁: 0²₁ = 0²/2 H₁:0²/ ± 0²/2 OB. Ho: 0² #02/2 H₁:0² = 0²/2 O C. H₁: 0²₁2 = 0²/22 OD. H₂:0² = 02²2 H₁ : 0²71 <0²/22 H₁: 021 202²/2 Identify the statistic. F= (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the…A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. How many populations? 01 What is the parameter? O tandard Deviation Variance Difference between Means Proportion MeanYou wish to test the following daim (Ha) at a significance level of a = 0.02. Ho:µ = 58.6 Ha:µ < 58.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 14.2 12 31.5 -11.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null fail to reject the null
- 20Researchers were interested in the impact of texting on student learning. A group of 99 college students received texts from the researcher during a prerecorded psychology lecture. At the end of the 20-minute lecture, students answered a 17-question quiz about the material that had just been presented; scores were compared to a population mean of 15 on the test, though the population standard deviation was unknown. Which statistical test should the researchers use to analyze their data? a. dependent-samples t test b. one-sample t test c. independent-samples t test d. z testA 0.1 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is less than 0.5. Assume that sample data consists of 78 girls in 169 births, so the sample statistic of 613 results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h) below.Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING...Question content area bottomPart 1a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.A.H0: p≠0.5H1: p<0.5B.H0: p=0.5H1: p≠0.5C.H0: p=0.5H1: p<0.5D.H0: p=0.5H1: p>0.5Part 2b. What is the value of α?α=enter your response here (Type an integer or a decimal.)Part 3c. What is the sampling distribution of the sample statistic? Normal distribution Student (t) distribution χ2Part 4d. Is the test two-tailed, left-tailed, or right-tailed? Right-tailed…
- * Question Completion Status: QUESTION 12 In a random sample of 10 adults each of them ate 100 g of dark chocolate and in another random sample of 15 adults each of them a chocolate. After one hour their blood plasma antioxidant capacity was measured and the summary statistics are given below. ate 100 g of milk Sample standard deviation 6.2 7.2 Sample mean Dark chocolate (DC) Milk chocolate (MC) 171.5 160.0 At 5% significance level do the data provide sufficient evidence that dark chocolate produces a higher mean level of total blood plasma capacity than milk chocolate? Assume that the population distributions are normal with equal variance. antioxidant a. The altemative hypothesis is H1: PDarkc () PMIKC b. The test statistic t = (round at two decimal places) c. The degrees of freedom (d.f.) = d. The critical value of the test = (do not round up). e. As the absolute value of the test statistic is (less/greater) than the critical value, we (accept/reject) the null hypothesis and…You conduct a between-subjects ANOVA investigating whether different states produce tastier cheeses. You find that eta-squared is .50. What does this tell you? a. The effect size is small. b. 50% of the total variance in tastiness is due to differences between the states. c. The difference between the group means is .50 standard deviations. d. All of the aboveA Two-Sample Hypothesis TestThe mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Assume a 5% level of significance.)Useful tools:Normal Distribution Calculatort-Distribution Calculator 1. Which of the following null and alternative hypotheses match this scenario? A---H0:Δμ=0H0:Δμ=0Ha:Δμ≠0Ha:Δμ≠0 B---H0:Δμ≠0H0:Δμ≠0Ha:Δμ=0Ha:Δμ=0 C---H0:Δμ=0H0:Δμ=0Ha:Δμ>0 2. Which type of test should be applied? A---The alternative hypothesis indicates a right-tailed test. B---The alternative hypothesis indicates a left-tailed test. C---The alternative hypothesis indicates a two-tailed test. 3. Which type of distribution should be…