Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 1% significance level is performed. Arts Humanities Sciences Row Total Men 16 6. 20 42 Women 20 16 44 Column Total 24 26 36 86 (a) The null and alternative hypotheses are: • Ho: The two variables are independent, so gender does not affect college major. • Ha: The two variables are dependent, so gender does affect college major. (b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.) Provide your answer below: test statistic

Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest.     Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102   We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha:   Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0   B. What the test statistics? You probably need to find the pooled proportion first.  Pooled proportion is  ___________.  0.6 0.78 0.6844   C. Test statistic is ________. 3.46 1.28 66.41 4.36

Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.    Arts   Humanities   Sciences   Row Total  Men  11 5 19 35 Women  11 22 9 42 Column Total  22 27 28 77 (a)  The null and alternative hypotheses are: H0: The two variables are independent, so gender does not affect college major. Ha: The two variables are dependent, so gender does affect college major. (b)  Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…

Tne roilowing tapie contains tne scores rom a group or 1ɔ nign scnooi seniors on a psycnoiogicai assessment or positive arrect ror tne supject or matn ana tneir scores on the same assessment for the subject of chemistry. The assessment measures the strength of the student's positive feelings towards the subject on a 40-point scale, with 40 being the most positive. Positive Affect Assessment Score for Math Assessment, x Score for Chemistry Assessment, y 25 20 31 24 7 10 31 25 10 4 8 27 26 9 8 10 9 9 29 28 16 17 23 17 26 14 40 28 Copy Data Step 1 of 2: Calculate the sum of squared errors, SSE, based on a regression analysis of the assessment data. Round your answer to two decimal places, if necessary.

Which part(s) is it reasonable to say that a. Factor A does not affect the mean of the response variable. b. Factor B does not affect the mean of the response variable. c. neither factor affects the mean of the response variable. Each graph in Fig. C.4 shows a plot of the cell means for a 2 × 2 ANOVA. For each part, using only the graphs, conjecture on the results of the three hypothesis tests. (Note: For convenience we have denoted the two levels of Factor A as A1 and A2.) FIGURE C.4

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…

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High School Band - In most US high schools, students can play an instrument in three types of bands. A random sample of high school band students was taken and the results are summarized in the table below. Instrument type Band Woodwind Brass Percussion type Concert 31 25 8. Jazz 10 16 10 Marching 65 65 27 To assess whether there is a relationship between band type and instrument type, we want to conduct an appropriate hypothesis test. Choose the null and alternative hypothesis? 1. The categorical variables band type and instrument type are independent. Alternative hypothesis 2. The categorical variables band type and instrument type are not independent. Null hypothesis