A random sample of n1=135 individuals results in x1=40 successes. An independent sample of n2=160 individuals results in x2=60 successes. Does this represent sufficient evidence to conclude that p1

A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05.    Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 44 42 53 56 62 53 48 43 Exit failures 48 50 55 60 57 48 50 48  Click here for the Excel Data File (a) Choose the appropriate hypotheses. Define the difference as Entry − Exit. multiple choice H0: μd = 0 versus H1: μd ≠ 0 H0: μd ≥ 0 versus H1: μd < 0 H0: μd ≤ 0 versus H1: μd > 0       Automated Gate: Number of Entry/Exit Failures                                                 Entry Exit     In row format:   Truck 1 44 48     Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8   Truck 2…

Only 15% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 363 randomly selected registered voters surveyed, 58 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer > < ≠ =  (please enter a decimal)     H1:H1:  ? μ p  Select an answer = < ≠ >  (Please enter a decimal) The test statistic ? t z  = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 15% at αα = 0.01, so there…

Only 16% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 327 randomly selected registered voters surveyed, 56 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? For this study, we should use: z-test for a population proportion or t-test for a population mean  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer ≠ < = >   (please enter a decimal)     H1:H1:  ? p μ  Select an answer > = ≠ <   (Please enter a decimal) The test statistic ? z or t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer:  accept, reject or fail to reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 16% at αα = 0.05, so there…

The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?

Only 12% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 390 randomly selected registered voters surveyed, 62 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer > < ≠ =   (please enter a decimal)     H1:H1:  ? p μ  Select an answer ≠ < = >   (Please enter a decimal) The test statistic ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer accept reject fail to reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 12% at αα = 0.01, so…

In a​ 4-week study about the effectiveness of using magnetic insoles to treat plantar heel​ pain, 51 subjects wore magnetic insoles and 47 subjects wore nonmagnetic insoles. The results are shown at the right. At α=0.06​, can you support the claim that there is a difference in the proportion of subjects who feel better between the two​groups? Assume the random samples are independent. Complete parts​ (a) through​ (e).

16% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 313 randomly selected students who receive financial aid, 31 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer < ≠ = >  (please enter a decimal)     H1:H1:  ? μ p  Select an answer > ≠ = <  (Please enter a decimal) The test statistic ? t z  = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer reject accept fail to reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower…

A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the test. Assume that the gas mileages are normally distributed for the population of all cars both with and without the additive. Car 1 2 3 4 5 6 7 8 9 10 Without additive 27.2 13.7 12.5 13.4 14.7 25.5 10.3 13.9 14.5 25 With additive 29.7 15.7 14.1 16.4 17.8 27.8 12.1 15 17.3 28 Step 2 of 5:  Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.

A two-sample t-test for a difference in means was conducted to investigate whether the average wait time at a fast food restaurant in Town A was longer than the average wait time at a fast food restaurant in Town B. With all conditions for inference met, the test produced a test statistic of t=2.42 and a p-value of 0.011. Based on the p-value and a significance level of α=0.02, which of the following is a correct conclusion?     There is convincing statistical evidence that the average wait times at the two restaurants are the same. A There is convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B. B There is convincing statistical evidence that the average wait times at the two restaurants are different. C There is not convincing statistical evidence that the average wait times at the two restaurants are the same. D There is not convincing statistical…