Express the first and the second order inclusion probabilities for single-stage cluster sampling with clusters selected by SRSWOR, as well as for two-stage cluster sampling with SRSWOR at both stages.

From the Behavioral Risk Factor Surveillance System in 2019, the prevalence of self- reported obesity among Michigan adult residents was 35.0%. Moreover, national reports from American Heart Association and Mayo Clinic state that people are more inactive than they used to because of the COVID-19 preventive measures. With this, you are hypothesizing that this year, the proportion of people categorized as obese is higher than before. To verify this, a random sample of 245 individuals were randomly selected from the different counties. Out of the sample, 98 of them were classified as obese. Using 10% level of significance, perform a test of significance.

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,95110,951 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 184184 of their customers and calculates that these customers used an average of 11,162kWh11,162⁢kWh of electricity last year. Assuming that the population standard deviation is 1263kWh1263⁢kWh, is there sufficient evidence to support the power company's claim at the 0.050.05 level of significance?   Step 2 of 3 :   Compute the value of the test statistic. Round your answer to two decimal places.

Use the GSS2016.SAV file and SPSS to produce a CROSSTAB for the variables CLASS and RECYCLE. Before conducting your analysis, first reverse code SATJOB so that 1 = Very Dissatisfied; 2=Moderately Dissatisfied; 3=Moderately Satisfied; and 4=Very satisfied. Set all other values (8, 9) to system missing. Then examine the relationship between social class and job satisfaction by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05. State the null and research hypotheses: H0: H1: What is the obtained chi-square value? What is the significance level (p-value) for the obtained chi-square? Should we reject or fail to reject the null hypothesis? Is there a statistically significant relationship between these variables? Which measure of association would be most appropriate for these variables? What is the value of the measure of…

An SRS of 190 flights of a large airline (call this airline 1) showed that 160 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 172 were on time. Let p1 and P2 be the proportion of all flights that are on time for these two respective airlines. Is airline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.02. (a) What are the null and alternative hypotheses? Но: р < : 0.0 На р 0.0 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, fail to reject + the null hypothesis.

A researcher uses an ANOVA to test 4 groups with n = 13 in each group and obtains an F = 2.85. Is this value sufficient to reject the null with α = .05? Provide the degrees of freedom value(s), the critical region value, and your decision regarding the null hypothesis.

Dimwit, a social media company, wants to become more competitive in the marketplace. They have developed an algorithm that tracks the response and resolution times when customers call for technical support. The company has a service standard of 4 days for the mean resolution time with the standard deviation of 10.3 days. However, the Director of the technical support group has been receiving some complaints of long resolution times. During one week, a sample of 36 customer calls resulted in a sample mean of 5.3. Even though the sample mean exceeds the 4-day standard, does the manager have sufficient evidence to conclude that the mean service time exceeds 4 days, or is this particular sample mean simply a result of sampling error? Use a significance level equal to 1% to test your hypothesis.

For a 5 group ANOVA analyses please design a t-test pos - hoc evaluation, write the hypotheses, discuss and prove the analyses and alpha type error between ANOVA and t-test