Question

4. A researcher believes that the proportion of a community’s
population in favor of a new park is greater than the countywide
proportion of 0.65. A survey of 67 people in the community reveals
that the estimated proportion of the community in favor of it is
equal to 0.76. Use alpha = 0.05. State the null and alternative
hypotheses, find the test statistic, compare it with the critical
value, make a decision, and find the *p*-value.

Answer #1

4. A researcher believes that the proportion of a community’s
population in favor of a new park is greater than the countywide
proportion of 0.65. A survey of 67 people in the community reveals
that the estimated proportion of the community in favor of it is
equal to 0.76. Use alpha = 0.05. State the null and alternative
hypotheses, find the test statistic, compare it with the critical
value, make a decision, and find the p-value.
PLEASE HELP!

A researcher believes that the proportion of a community’s
population in favor of a new park is greater than the countywide
proportion of 0.65. A survey of 67 people in the community reveals
that the estimated proportion of the community in favor of it is
equal to 0.76. Use alpha = 0.05. State the null and alternative
hypotheses, find the test statistic, compare it with the critical
value, make a decision, and find the p-value.

A researcher believes that community B has a lower income than
community A. Forty people are surveyed in each of the two
communities regarding their income. In place A, the mean among the
40 individuals is 62 (given in thousands; you can ignore the
‘thousands’ and just use ‘61’), and the variance is 95; in place B,
the mean among the 40 surveyed is 59, and the variance is
100. Test the null hypothesis that the two communities
have equal...

A researcher believes that community B has a lower income than
community A. Forty people are surveyed in each of the two
communities regarding their income. In place A, the mean among the
40 individuals is 62 (given in thousands; you can ignore the
‘thousands’ and just use ‘61’), and the variance is 95; in place B,
the mean among the 40 surveyed is 59, and the variance is
100. Test the null hypothesis that the two communities
have equal...

The mean number of shopping trips per week in a county is 2.2.
In a particular neighborhood within the county, a survey based on
50 people reveals that the mean in the neighborhood is 1.85, with a
standard deviation of 1.2. Test the null hypothesis that the mean
in the neighborhood is no different from that in the county. State
the null and alternative hypotheses, find the test statistic,
compare it with the critical value, make a decision, and find...

A survey of n = 50 people reveals that the proportion of
residents in a community who take the bus to work is 0.15. Is this
significantly different from the statewide average of 0.10? Use a
significance level of 0.05. Write down the null and alternative
hypotheses, find the test statistic and the p-value, and state your
conclusion.

A researcher claims that 25% of people in the U.S. population
have circulation
problems. In a random sample of 189 people, 38 had circulation
problems. Test at the
alpha = 0.05 significance level to see if the percent is 25% or
if it is less. You should give your
null and alternative hypotheses, then decide if you accept or
reject the null hypotheses (find
the test statistic and either the P-value or critical
value(s)).

The proportion of Harris County residents who own a pet(s) is
80%. A researcher believes a larger proportion of Harris County
residents own a pet(s). He surveys 1,000 residents and 850
responded that they own a pet(s). Test his hypothesis at the alpha
level of .05. Steps below
a) Write the null and research hypotheses
b) Is it a one-tail or two-tail test?
c) Determine Z-critical, indicate on the normal curve.
d) Identify the acceptance and rejection regions in part...

An amateur researcher believes that the number of books owned is
correlated with emotional intelligence (EQ). She randomly surveys
100 women and 100 men and finds r = .22. What does she
conclude?
Null hypothesis:
Alternative hypothesis:
Statistical test:
Significance level (I'll pick it for you; alpha = .05)
Critical region for rejecting null hypothesis:
Calculate the statistic (please show your work):
Decision:

C. A researcher uses ANOVA to test 4 groups with n=13 in each
group and obtains an F=2.85. Is this value sufficient to reject the
null with alpha = 0.05? Provide the degrees of freedom values, the
critical region value, and your decision regarding the null
hypothesis. Put your final answer in APA format
D. Is this value (F= 2.85) Sufficient to reject the null with
alpha 0.01? provide the degrees of freedom values, the critical
region value, and your...

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