0305HW-CH9

After running a regression you conduct a hypothesis test of Ho: ß = 2.5 versus Hạ: B + 2.5 is performed using a = 0.10. The value of the test statistic z = -1.80 (the critical value is -1.645). If the true value of B is 2.5, does the conclusion you reach result in Type I, Type II error, or the correct decision? O Type II Error O Type I Error O correct decision not enough information

A researcher was doing a study for a new Coronavirus Drug and conducted a hypothesis test like this one: H0: μμ = 15 Ha: μμ ≠≠ 15 a.  What type of test is this?   two-tailed left-tailed right-tailed   b. She obtained a test statistic of -1.21, with a p-value of 0.245.  So she concluded that her true mean must be equal to 15.   Is this interpretation correct?  Yes No   Why or why not?  (Will be graded manually!)v

Let µj and µz represent the population means and let "= 2 A test will be made of the hypotheses Ho "a=0 versus 41 "a>0. Can you reject Ho at the a= 0.05 level of significance?

3/8.3

Are blonde female college students more likely to have boyfriends than brunette female college students? 410 of the 626 blondes surveyed had boyfriends and 432 of the 729 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.01 level of significance? The test statistic  z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

Determine the conclusion to the hypothesis test with a test statistic of -3.48 for two samples with known sigma given H0: uA-uB=0 vs Ha: uA-uB<0 and a 1% level of significance. Should you reject the null hypothesis or fail to reject the null hypothesis? Why?

Please help show me how to get the values of t= and P-value

What is the critical value for a right-tailed t test when alpha = 0.025 and n = 13? Explain.

Dr. Phil wanted to know if mothers give more hugs to their children than fathers do.  He used 8 married couples so that each mother and father would be matched on the number of children for his sample.  Dr. Phil then asked each parent to report the number of hugs that they gave their children over the course of 2 weeks.  Assume the parametric assumptions were NOT violated.  Conduct an appropriate statistical test for him using alpha .05 and the eight steps of hypothesis testing. Note: more information given in table than is needed

Alpha (a) is used to measure the error for decisions concerning true null hypotheses. What is beta (ß) error used to measure?

r = 0.8992

F from the F table = 3.59 Calculated value of F from the ANOVA table = 81.87 alpha= .05 P-value = .000 The null hypothesis of no linear relationship between the dependent variable and the independent variable.  select...  O is rejected. cannot be tested with the given information. O is not rejected. O is not an appropriate null hypothesis for this situation.

The owner of a movie theater company would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Television Newspaper Advertising Advertising ($1,000s) Gross Revenue ($1,000s) ($1,000s) 96 5 1.5 91 2 95 1.5 92 2.5 2.5 95 3 3.3 94 3.5 2.3 94 2.5 4.1 94 3 2.5 (a) Use a = 0.01 to test the hypotheses Hoiß = B2 = 0 H:B, and/or B, is not equal to zero for the model y = B, + B,x, + B2x2 + E, where x, = television advertising ($1,000s) X, = newspaper advertising ($1,000s). Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = | State your conclusion. O Reject H,. There is insufficient evidence to conclude that there is a significant relationship among the variables. O Do not reject H,. There is sufficient evidence to conclude that there is a significant relationship among the variables. O Do not reject H,. There…

in a hypothesis test for the difference of two proportions, the point estimate is calculated to be ?̂ 1−?̂ 2=0.11p^1−p^2=0.11, and the standard error is calculated to be ??=0.0099SE=0.0099.  Compute the test statistic if the null hypothesis is that the two proportions are equal.

If the alpha value is 0.05 p-value for Z test I get as 1.932146e-05 in excel or R. Null hypothesis will be rejected or accepted?

A test of H0: μ = 53 versus H1: μ < 53 is performed using a significance level of α = 0.01. the p-value is 0.124. if the true value of μ is 49, does the conclusion result in a type i error, a type ii error, or a correct decision? A). correct decision B). type ii error   c). type i error

I think I'm supposed to do a hypothesis test for a difference in means on this review problem, but I'm not completely sure. I'd be very grateful for some help!

Phil wanted to know if mothers give more hugs to their children than fathers do.  He used 8 married couples so that each mother and father would be matched on the number of children for his sample.  Dr. Phil then asked each parent to report the number of hugs that they gave their children over the course of 2 weeks.  Assume the parametric assumptions were NOT violated.  Conduct an appropriate statistical test for him using alpha .05 and the eight steps of hypothesis testing. Note: more information given in table than is needed Pair Mother Hugs (X1) R1 X12 Father Hugs (X2) R2 X22 D Ranks D2 + - 1 14   196 14   196 0   0     2 10   100 8   64 2   4     3 10   100 15   225 -5   25     4 8   64 7   49 1   1     5 6   36 9   81 -3   9     6 3   9 9   81 -6   36     7 17   289 20   400 -3…

Calculate the test-statistic, t with the following information.n1=45n1=45, ¯x1=2.47x¯1=2.47, s1=0.47s1=0.47n2=60n2=60, ¯x2=2.42x¯2=2.42, s2=0.64s2=0.64Rounded to 2 decimal places.

If the coefficient ß, has a nonzero value, then it is helpful in predicting the value of the response variable. If p₁ = 0, it is not helpful in predicting the value of the response variable and can be eliminated from the regression equation. To test the claim that p₁ = 0 use the test statistic t = (b₁-0) / s- Critical values or P-values can be found using the t distribution with n-(k+1) degrees of freedom, where k is the number of predictor (x) variables and n is the number of observations in the sample. The standard error s, is often provided by software. For example, see the accompanying technology display, which shows that Sb₁ = 0.072447235 (found in the column with the heading of "Std. Err." and the row corresponding to the first predictor variable of height). Use the technology display to test the claim that B₁ = 0. Also test the claim that B₂ = 0. What do the results imply about the regression equation? Click the icon to view the technology output. Test the claim that ß, = 0. For…

Previously, 5% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 5% today. She randomly selects 155 pregnant mothers and finds that 6 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.1 level of significance. What are the null and alternative hypotheses? = versus H,: p Họ: P (Type integers or decimals. Do not round.)

Just question 3 fill in the blank

For this study, we should use     The null and alternative hypotheses would be: z-test for a population proportion or t-test for a population mean Ho: (p or u)           (please enter a decimal)    H1:  (p or u)          (Please enter a decimal) The test statistic z =  (please show your answer to 3 decimal places.) The critical value =       (Please show your answer to 3 decimal places.) The test statistic (is or is not)    in the rejection region. Based on this, we should  (reject or accept or fail to accept)    the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger 50% at � = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 50%. The data suggest the populaton proportion is significantly larger 50% at � = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is…

A test is conducted for Ho: μ = 9.0 vs. Ha: μ< 9.0. The test statistic is -1.44. Correct conclusions are Reject null hypothesis at both 6% and 8% level of significance. Reject null hypothesis at 5% level of significance but do not reject at 10% level of significance. Reject null hypothesis at 6% level of significance but do not reject at 8% level of significance Reject null hypothesis at 10% level of significance but do not reject at 5% level of significance Reject null hypothesis at both 5% and 10% level of significance.