Which of the following tests helps in the detection of heteroscedasticity?   a.The joint F- test b.The Breusch-Pagan test c.The Chow test d.The Jarque-Berra test

K In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ P2 Z= OB. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. -0 (Round to two decimal places as needed.) Identify the P-value. OE Ho: P1 H₁: P₁ The P-value is hypothesis. There P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? P₂ P₂ OC. Ho: P₁ SP2 H₁: P₁ P₂ OF. Ho: P1 P2 H₁: P₁ P2 the significance level of a = 0.05, so Because…

Which of the following statements about hypothesis testing is false? A. A Type I error is the chance that the researcher rejects the null hypothesis when in fact the null hypothesis is true. B. The test will never confirm the null hypothesis, only fail to reject the null hypothesis. C. In both the one - tailed and two-tailed tests, the rejection region is one contiguous interval on the number line. D. The rejection region is always given in units of standard deviations from the mean.

In the chi square test, the expected frequencies: A. refer to those frequencies actually observed B. are expected to occur under the terms of the null hypothesis C. are expected to occur under the terms of the alternative hypothesis D. are never known by the researcher

ble shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation Clergy (all denominations) E Row Total 65 42 107 M.D. 70 92 162 Lawyer Column Total 54 83 137 189 217 406 A USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are independent H: Myers-Briggs preference and profession are independent. O H: Myers-Briggs preference and profession are independent H: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H,: Myers-Briggs preference and…

A sociologist is studying the social aspect of eating out and in particular is interested in the amount of time people spend in fast food restaurants versus more formal restaurants. She visits one fast food restaurant and has a colleague visit one formal restaurant at the same day/time as her They collectively observe the following times (lengths of visits) in minutes: Fast food 19 21 16 21 30 24 Formal 63 38 72 66 64 78 93 (a) By hand, conduct a formal hypothesis test at 5% level of significance to see if the average time spent in a fast food restaurant is lower than the average time spent in a formal restaurant using the p-value approach. (b) Interpret the p-value found in (a).

Suppose that a medical clinic wants to test whether there is a relationship between sex and age class in the number of deaths caused by cancer. The table shows the observed frequencies (counts) of a simple random sample of 117 deaths related to cancer. Younger than 45 45 and older Total Male 8 60 68 Female 4 45 49 Total 12 105 117 Does this sample meet the requirements for conducting a chi-square test for independence? The sample does not meet the requirements because the expected frequency in at least one cell is less than 10. The sample does not meet the requirements because the expected frequency in at least one cell is less than 5. The sample does not meet the requirements because the observations are not independent. The sample meets the requirements because the observed frequency in each cell is at least 5. The sample meets the requirements because the expected frequency in each cell is at least 5.