According to the Pew Research Center, 14% of adults rate basketball as their favorite sport to watch. Your boss believes this proportion may be higher among adults under age 35, and wants you to collect evidence to see if this is true. Your boss is comfortable with the probability of a Type I error being 0.05. You survey 60 adults under age 35, and find that 23% of them rate basketball as their favorite sport. Conduct a hypothesis test and state your conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1. According to the Pew Research Center, 14% of adults rate basketball as their favorite sport
to watch. Your boss believes this proportion may be higher among adults under age 35, and
wants you to collect evidence to see if this is true. Your boss is comfortable with the
probability of a Type I error being 0.05. You survey 60 adults under age 35, and find that
23% of them rate basketball as their favorite sport. Conduct a hypothesis test and state
your conclusion.
Step 1: State the null and alternative hypotheses.
Ha H
Step 2: Choose the significance level.
Step 3: Calculate the test statistic.
x bar-
t =
s/Vn
Step 4: Find the critical value(s).
Step 5: Compare the test statistic to the critical value(s).
Step 6: State the conclusion.
Transcribed Image Text:1. According to the Pew Research Center, 14% of adults rate basketball as their favorite sport to watch. Your boss believes this proportion may be higher among adults under age 35, and wants you to collect evidence to see if this is true. Your boss is comfortable with the probability of a Type I error being 0.05. You survey 60 adults under age 35, and find that 23% of them rate basketball as their favorite sport. Conduct a hypothesis test and state your conclusion. Step 1: State the null and alternative hypotheses. Ha H Step 2: Choose the significance level. Step 3: Calculate the test statistic. x bar- t = s/Vn Step 4: Find the critical value(s). Step 5: Compare the test statistic to the critical value(s). Step 6: State the conclusion.
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