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Consider again the conditions of Exercise 2, including the observations in the random sample of 128 families, but suppose now that it is desired to test the composite null hypothesis Ho that the distribution of the number of boys in each family is a binomial distribution for which n = 3 and the value of p is not specified against the general alternative HI that Ho is not true. At what levels of significance should H 0 be rejected?
Exercise 2
Consider a large population of families that have exactly three children; and suppose that it is desired to test the null hypothesis Ho that the distribution of the number of boys in each family is a binomial distribution with parameters n = 3 and p = 1/2 against the general alternative HI that Ho is not true. Suppose also that in a random sample of 128 families it is found that 26 families have no boys, 32 families have one boy, 40 families have two boys, and 30 families have three boys. At what levels of significance should Ho be rejected?
A bag contained four green balls, three red balls, and two purple balls. Jason removed one purple ball from the bag and did not put the ball back in the bag. He then randomly removed another ball from the bag. What is the probability that the seco..
An auto manufacturer purchases starting mechanisms from an independent contractor. Every week, a quality control officer pulls one hundred starters out.
Given the following rating outcomes, determine if there exists a reasonably strong degree of agreement between the two judges.
A sample of 33 observations is selected from a normal population. The sample mean is 30, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.
Does the data set represent a sample or a population? If it is a sample, describe the population from which it has been drawn.
suppose that two cards are randomly selected from a standard 52-card deck. what is the probability that the first card
Best-selling Books The numbers of copies sold (in millions) for the top ten best-selling books in 2015-2016 are shown in the table.
Compute the correlation coefficient. A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production?
A cola dispensing machine is set to depense 9 ounces per cup with a standard deviation of .5 oz .THe manufacturer would like to set the control limits so that for samples of 16,
For the samples summarized below, test the hypothesis at ∞ =.05 that the two variances are equal. Variance Number of data values Sample 1 19 8 Sample 2 9 18
Is there a statistically significant relationship between gender and party preference?- Compute column percentages for the table to clarify the pattern of the relationship.
It is estimated that 26% of all California adults are college graduates and that 31 % of California adults are regular internet users. It is also estimated that 20% of California adults are both college graduates and regular internet users.
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