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The alternative hypothesis, significance level, and summary statistics are provided. Conduct the stated hypothesis test for two population proportions using the given information. H1:p1−p2<0p^1=0.09p^2=0.12α=0.025n1=300n2=200 a. Calculate the test statistic. Round to two decimal places if necessary Enter 0 if normal approximation cannot be used
a. Calculate the test statistic. Round to two decimal places if necessary Enter o if normal approximation cannot be used b. Determine the critical value(s) for the hypothesis test. Round to two decimal places if necessary Enter 0 if normal approximation cannot be used c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject Cannot Use Normal Approximation
Does where you live affect your insurance rate? The mean auto insurance rate for 25 drivers in a large city is $1,861 per car with a standard deviation of $332 while the mean rate for 27 drivers in a rural area is $1,691 with a standard deviation of $264. At a=0.1, can we conclude that drivers in the large city pay higher insurance rates than those in the rural area, assuming the population variances are equal? a. Calculate the test statistic. t= Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. Round to three decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject
A random sample of n1=17 securities in Economy A produced mean returns of x1=5.7% with s1=2.1% while another random sample of n2=20 securities in Economy B produced mean returns of x2=4.9% with s2=2%. At α=0.05, can we infer that the returns differ significantly between the two economies? Assume that the samples are independent and randomly selected from normal populations with equal population variances (σ12=σ22). a. Calculate the test statistic. t= Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. Round to three decimal places if necessary
populations with equal population variances (σ12=σ22). a. Calculate the test statistic. t= Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. Round to three decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject
Conduct the stated hypothesis test for μ1−μ2. Assume that the samples are independent and randomly selected from normal populations. H0:μ1−μ2=0n1=35n2=31H1:μ1−μ2=0x1=2,260x2=2,308α=0.05σ1=158.4σ2=176.3 a. Calculate the test statistic. z= Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test. Round to two decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic.
A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer. Can the company conclude that their expected distribution was accurate using a 5% level of significance? a. Calculate the test statistic. χ2= Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test.
Can the company conclude that their expected distribution was accurate using a 5% level of significance? a. Calculate the test statistic. χ2= Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test. c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject
A dentist wondered if his appointments were distributed evenly from Monday to Friday each week. He took a random sample of 500 appointments and recorded which day of the week they were booked for. His results are: The dentist would like to use these results to conduct a χ2 goodness-of-fit test to determine if the distribution of appointments agrees with an even distribution using a 1% level of significance. a. Calculate the test statistic. χ2= Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test.
determine if the distribution of appointments agrees with an even distribution using a 1% level of significance. a. Calculate the test statistic. χ2= Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test. c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject