use at least one social media site, broken down by age, is based on data reported by Pew as of February 2019. The expected counts are given below the observed counts. The contribution to the chi-square statistic is given below the expected count. Use Social Media Age 18-29 Age 30-49 Age 50-64 Age 65+ Yes 212 160.761 16.33 324 269.07 11.21 293 288.82 0.06 156 266.35 45.72 No 24 75.24 35.89 71 125.93 23.96 131 135.18 0.13 235 124.66 97.68 Compute the chi-square statistic X² for this two- way table. Give your answer to two decimal places.
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- If a researcher did not wish to assume homogeneity of variance for this analysis, which values would they report for the t-statistic, degrees of freedom, and p-value? Would the conclusions change?A financial analyst conducted a test to determine whether the rates of return per share of Netflix stock exceeded the rates of return per share of Microsoft stock over the last 15 quarters, on average. Assuming equal population variances, if the calculated value for the associated test statistic equalled -1.9921, what did the p-value equal?Suppose an architectural firm specializing in the structural restoration and renovation of historic homes and early barns is deciding whether to open a branch of the company in Wilmington, Vermont. Market research commissioned by the firm indicates that the Vermont location will be profitable only if the mean age of houses and barns located within a 100-mile radius of Wilmington is greater than 65 years. The architectural firm conducts a hypothesis test to determine whether μ, the mean age of structures located within a 100-mile radius of Wilmington, is greater than 65 years. The test is conducted at α = 0.01 level of significance using a random sample of n = 196 houses and barns located in the specified area. The population standard deviation of the age of structures is assumed to be known with a value of σ = 23.8 years. The firm will open a Vermont branch only if it rejects the null hypothesis that the mean age of structures in the specified area is less than or equal to 65 years. To…
- An analysis of variances produces dftotal = 35 and dfwithin = 28. For this analysis, what is dfbetween? Round your answer to the nearest whole number.At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? Select the correct hypothesis test for this problem:The article “Well-Fed Crickets Bowl Maidens Over” (Nature Science Update, February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate for male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether the chirp rate was related to nutritional status, investigators fed 27 male crickets a high protein diet for 8 days, after which chirp rate was measured. Let: The parameter μ be the mean chirp rateof male crickets on a high protein diet for 8 days. Given: The mean chirp rate for the random sample of crickets on the high protein diet was reported to be 64 chirps per second with a standard deviation of 14. Research Question: Is there convincing evidence that the mean chirp rate for crickets on a high protein diet implies an advantage in attracting the ladies? It is known that the researchers did not want to risk a…
- The r2represents the shared variance between a predictor and _______It turns out that the survey study at the U of M sampled students from a single student residence hall. Explain why sampling students from a single residence hall would have an impact on the external validity of the study.The article “Well-Fed Crickets Bowl Maidens Over” (Nature Science Update, February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate for male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether the chirp rate was related to nutritional status, investigators fed 22 male crickets a high protein diet for 8 days, after which chirp rate was measured. Let: The parameter μμ be the mean chirp rateof male crickets on a high protein diet for 8 days. Given: The mean chirp rate for the random sample of crickets on the high protein diet was reported to be 65.32 chirps per second with a standard deviation of 12. Research Question: Is there convincing evidence that the mean chirp rate for crickets on a high protein diet implies an advantage in attracting the ladies? It is known that the researchers did not want to…
- The article “Well-Fed Crickets Bowl Maidens Over” (Nature Science Update, February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate for male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether the chirp rate was related to nutritional status, investigators fed 22 male crickets a high protein diet for 8 days, after which chirp rate was measured. Let: The parameter μμ be the mean chirp rateof male crickets on a high protein diet for 8 days. Given: The mean chirp rate for the random sample of crickets on the high protein diet was reported to be 65.32 chirps per second with a standard deviation of 12. Research Question: Is there convincing evidence that the mean chirp rate for crickets on a high protein diet implies an advantage in attracting the ladies? It is known that the researchers did not want to…The article “Well-Fed Crickets Bowl Maidens Over” (Nature Science Update, February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate for male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether the chirp rate was related to nutritional status, investigators fed 26 male crickets a high protein diet for 8 days, after which chirp rate was measured. Let: The parameter μ be the mean chirp rateof male crickets on a high protein diet for 8 days. Given: The mean chirp rate for the random sample of crickets on the high protein diet was reported to be 64.04 chirps per second with a standard deviation of 10. Research Question: Is there convincing evidence that the mean chirp rate for crickets on a high protein diet implies an advantage in attracting the ladies? It is known that the researchers did not want to…As a marketing class term project, Jim is investigating whether senior students eat less frequently in fast-food chains than college freshmen. He asked 11 freshmen and 11 seniors to keep track of how many times they ate in a fast-food restaurant during the month of November. Assuming equal variances unknown, do a left-tailed test of Hypothesis whether he conclude that the mean is significantly smaller for college seniors than freshmen at the 5% level of significance. [Freshmen(F) -> 11 18 12 7 16 20 15 14 17 9 16 Senior(S) => 5 13 15 5 10 8 9 8 19 7 18 a) Carry out the hypothesis test above and draw the conclusion of the test, where S-mean = 10.64, F-mean = 14.09, S-variance = 24.25, F-variance = 15.69 b) What is the p-value for left-tailed test in a) -> used by z table (use up to 2nd decimal point value of tr, in a).