Proportion Problem. A plan for an executive traveler's club has been developed by an airline on the premise that at least 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 40 who would qualify. Using this proportion data, test at alpha = .01 the null hypothesis that the company's premise is correct, against the alternative that it is not correct. a)  What is the standard error for this hypothesis test? b)  P-valueofthetest

You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles.  You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.035 margin of error at a 99% level of confidence. a)  With no prior research, what sample size should you gather in order to obtain a 0.035 margin of error? b)  Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.185. Using this new information. what sample size should you gather in order to obtain a 0.035 margin of error

(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.

11:39 1 A myopenmath.com 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. Observed Expected Category Frequency Frequency A 13 В 11 C 12 17 E 23 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.) What are the degrees of freedom for this test? d.f.= 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

A newspaper publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential adveriser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis.  What is the conclusion regarding the publisher's claim? (Choose A or B) A. There is sufficient evidence at the 0.02 level of significance that the percentage is over 47%. B. There is not sufficient evidence at the 0.02 level of significance to say that the percentage is over 47%.

Proportion Problem. A plan for an executive traveler's club has been developed by an airline on the premise that at least 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 40 who would qualify. Using this proportion data, test at alpha = .01 the null hypothesis that the company's premise is correct, against the alternative that it is not correct. 1. What is the test statistic? d) What is the p-value of the test statistic?

Is there an association between grade level and whether the student makes their bed in the morning? To investigate, the principal at a large high school selects a random sample of 84 students and classifies them as being in ninth, tenth, eleventh, or twelfth grade, and whether they make their bed. He would like to determine if there is convincing evidence of an association. Let a = 0.05. What are the hypotheses for this test? O Ho: There is no association between grade level and whether the student makes their bed in the morning. Hạ: There is an association between grade level and whether the student makes their bed in the morning. O Ho: There is an association between grade level and whether the student makes their bed in the morning. Hạ: There is no association between grade level and whether the student makes their bed in the morning. O Ho: There is a difference in the distribution of grade level and whether the student makes their bed in the morning. Hạ: There is no difference in…

3. Identify the null hypothesis, alternative hypothesis, test statistic, p-value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. The Genetics and IVF Institute conducted a clinical trial of the XSORT method designed to increase the probability of conceiving a girl. As this book was being written, 325 babies were born to parents using the XSORT method, and 295 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this method, the probability of a baby being a girl is greater than 0.5. Does the method appear to work?

A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. White Hispanic Black Asian/Pacific Islander TOTAL Race White Hispanic Black Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County. Cases Choose the correct null and alternative hypotheses: O Ho: The distribution of AIDS cases is different from the race distribution in Santa Clara County. Ha: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. TOTAL 22 Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. Ha : The distribution of AIDS cases is different from the race distribution in Santa Clara County. Race Asian/Pacific Islander 14 ▼ Part 2 of 4 The population distribution of Santa Clara County by race is provided in the table below. Use these…

6% of all statistics classes require a statistical calculator and 25% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 13% also require the use of a computer. If a statistics course is selected at random find: (round to 4 decimal places where possible) a.  P(Statistical Calculator) = Correct b. P(Statistical Software) = Correct c. P(Require a Statistical Calculator and Statistical Software) = Incorrect d. P(Require a Statistical Calculator GIVEN Require Statistical Software) =