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A psychologist specializing in marriage counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce is at least 76%. In a random sample of 245 married couples who completed her program, 168 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.05 level of significance?
Perform a one-tailed test. Then answer/fill in the below:
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
a) null hypothesis?
b) alternative hypothesis?
c) type of test statistic?
d) the value of the test statistic (round to 3 decimal places)?
e) the p-value (round to 3 decimal places)?
f) Can we reject the psychologist's claim that the proportion of married couples for whom her program can prevent divorce is at least 76%?
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A consumer protection group is concerned that a ketchup manufacturer is filling its 20-ounce family-size containers with less than 20 ounces of ketchup.
1. Let Y,,denote the nth order statistic of a random sample of size n from a distribution of the continuous type. Find th smallest value of n for which Pr (eo.9 Y,,) > 0.75.
Consider these data as random samples from two independent normal populations; carry out an appropriate test to con?rm or refute the hypothesis that instrument 2 is less precise than instrument 1.
A researcher hypothesizes that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, µ =58.A random sample of 14 individuals who listen..
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recently a group of adults who swim regularly for exercise were evaluated for depression. it turned out that these
Calculate the test statistic (z-score) for the sample. What decision should be made about the null hypothesis, and what decision should be made about the effect of the program.
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