The table below lists the number of games played in a yearly best-of-seven baseball championship series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions. Games Played Actual contests Expected proportion 4 18 2 16 5 22 4 16 Determine the null and alternative hypotheses. Ho: H₁: 24 5 16 Calculate the test statistic, ². x² = (Round to three decimal places as needed.) Calculate the P-value. 39 5 16 P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. OC. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. OD. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions..

Consider testing the hypotheses Ho: p 0.4 versus Hai p> 0.4. Four possible sample statistics, along with four possible p-values, are given. Match the statistics to their p-values. p= 0.42 p=0.38 p= 0.51 p= 0.46 D

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In a random sample of males, it was found that 22 write with their left hands and 220 do not. In a random sample of females, it was found that 73 write with their left hands and 449 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? OA. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ = P2 H₁: P₁ P2 B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ P2 H₁: P₁ = P2 C. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P2 P₂

With the information provided, determine which hypothesis test is required, and per- form it as asked. A frequency table for two categorical variables X and Y, each with two levels, a = 0.05 significance level? given below. Is there evidence of a relationship between them at the X1 X2 Y1 101 81 Y2 35 52 (a) What are Ho and HA? (b) What is the relevant test statistic and its sampling distribution under the null hypothesis? (c) Calculate the test statistic and provide the value. Show working. (d) Using your preferred method (RoR, p-value, CI) make a determination about the hypothesis test.

Consider the following table. Based on this data can you conclude that major and the gender are independent. Consider 0.05 level of significance. Write the null and alternate hypothesis and use the P-value and test statistics to conclude the claim. (round your expected frequency to closest whole number) Biology Business Engineering Mathematics Computer science Female 34 40 40 31 28 Male 41 36 34 25 38

In a random sample of​ males, it was found that 23 write with their left hands and 217 do not. In a random sample of​ females, it was found that 73 write with their left hands and 459 do not. Use a 0.01 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?     A. H0​: p1≤p2 H1​: p1≠p2   B. H0​: p1≥p2 H1​: p1≠p2   C. H0​: p1=p2 H1​: p1>p2   D. H0​: p1=p2 H1​: p1≠p2   E. H0​: p1≠p2 H1​: p1=p2   F. H0​: p1=p2 H1​: p1<p2 Identify the test statistic.   z=enter your response here ​(Round to two decimal places as​ needed.) Identify the​ P-value.   ​P-value=enter your response here ​(Round to three…

A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.5%), Married (55.7%), Widowed (2.7%), Divorced (10.1%). The table below shows the results of a random sample of 1620 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 507 Married 896 Widowed 46 Divorced 171 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? OMarital status and residency are dependent. Marital status and residency are independent. The distribution of marital status in California is the same as it is nationally. OThe distribution of marital status in California is not the same as it is nationally. Marital status and…

.  What is the appropriate analysis? Using statistical equations, give complete statements of the null and alternative hypotheses. Give any appropriate equations that may be generated by the analysis.

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